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May herself had voted against Brexit, but she had to implement Brexit.
May asked to address her divided party's powerful "1922 Committee" where she can expect questions from lawmakers, some of whom have discussed forcing a leadership contest.
While 200 Conservative lawmakers voted in support of May as leader, 117 dissented, indicating opposition not only from several dozen supporters of a hard Brexit but also from many more pragmatic lawmakers.
The British Prime Minister said she could not agree to any deal which treated Northern Ireland differently to the rest of the United Kingdom.
With just over six months before Britain leaves the EU, time is pressing and May is keen to secure some kind of deal before the end of the year and ease concerns over a disorderly exit.
May is struggling to sell what she calls her business-friendly Brexit to her own party and across a divided country.
As No 10 geared up for a potential vote of no confidence, government whips were recalled to Westminster from their constituencies.
No ministers threatened to resign over the deal, which May hopes will satisfy both Brexit voters and EU supporters.
The resignations are being seen as a sign of bigger troubles ahead for May, who defended the deal before belligerent MPs in the House of Commons.
Barclay campaigned in favour of Brexit ahead of the 2016 referendum.
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