Watch: The result is announcedpublished at 21:21 Greenwich Mean Time 12 December 2018
MPs cheers as Sir Graham Brady reads the result of the no confidence vote
Theresa May has been back in Brussels to seek changes to the Brexit withdrawal deal
She met the Irish PM and the president of the European Council, before an EU summit
EU leaders insist the withdrawal deal can't be renegotiated - but say some points can be clarified
The PM has confirmed she will not fight the next general election
Mrs May remains Tory leader after surviving a confidence vote on Wednesday night
She won 200 votes, but 117 MPs voted against her
Marie Jackson and Laurence Peter
MPs cheers as Sir Graham Brady reads the result of the no confidence vote
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Transport Secretary Chris Grayling says it has been a difficult day for the party but MPs have by a "substantial margin" backed Theresa May.
There are lessons for the PM and the party in the result, he says, but it was a "strong show of support".
He points out that more MPs backed the PM in this vote than did in the final round of voting in the 2016 leadership election.
Tory MP Vicky Ford says a "win is a win" and will provide a springboard for Mrs May to go back to the Brexit negotiations.
Austrian chancellor tweets:
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The sterling fell following the news that UK Prime Minister Theresa May won the confidence vote.
The pound is now down 0.44% against the dollar at $1.2602.
Overall, sterling is still higher today - this afternoon it rose 1.4% higher against the dollar at $1.2660 amid speculation that Mrs May was likely to have the backing of enough Tory MPs to win.
Reacting to the vote result, Brexiteer Peter Bone told the BBC: "More than a third of the parliamentary party does not support her, she’ll have to consider her position."
The foreign secretary tweets:
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Jacob Rees-Mogg says it is a "terrible result" for the prime minister and suggests Theresa May should now consider her position.
While he accepts the PM won, he says the fact the vast majority of backbenchers who are not in government did not back her is damning.
"She clearly does not have the confidence of the House of Commons and should make way for someone who does."
The BBC's Laura Kuenssberg says the margin of victory, with 117 MPs voting against her, is "not at all comfortable" for the PM and a "real blow" to her authority.
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Theresa May survives a vote of confidence in her leadership (200 voted for, 117 voted against).
She needed to secure at least 159 votes from Conservative MPs - half the parliamentary party plus one - to remain as leader.
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The Sunderland constituency has traditionally been the first place to count, declaring its results less than an hour after voting closed.
However in 2017 it lost out to Newcastle in the battle to be first, beating its neighbour.
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Asked why Theresa May decided to announce to MPs she would not lead her party into the next general election, a Conservative vice chairman said: "I don’t know."
James Cleverly said the party "needed to do some work" to rebuild its relationship with the DUP, which is supporting the government in office, but opposing the current Brexit deal.
He said Mrs May was "giving it her all" when negotiating with European leaders, despite them repeatedly saying there be no changes to the deal.
Mr Cleverly said it would be a "catastrophe" if MPs stopped Brexit.
The BBC's correspondent Sarah Campbell is spending the evening at a bowls club in Maidenhead, in the heart of Theresa May's constituency.
Roger Wyatt, the Desborough club's manager, is backing his local MP, recalling her visit to the club for its 50th anniversary a few years ago.
He says the uprising against her is "totally self-interested" and that while she has not got everything right during her two and a half years in Downing Street, she has been "let down by her team".
"There are ways of doing things and I don't think a vote of no confidence is the way to go forward."
And Rashid Majid, a former mayoress of the Berkshire town, says the behaviour of rebel MPs has been "fairly appalling".
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