Context:
Answering questions, he said he had the continuing support of his wife Huma Abedin, a long-time aide to Hillary Clinton,[41] whom he had married in July 2010, in a ceremony officiated by Bill Clinton, and did not intend to resign his congressional seat.[42] Prior to his marriage, Weiner was known for his "bachelor exploits with some of New York's most eligible women," detailed in a 2011 Moment profile of the Congressman.[43] Following the revelations of his inappropriate communications, his reportedly emotional apology to former president Clinton was referred to in the press as highly ironic.[44] Asked about an allegation that he had engaged in phone sex with a woman in Nevada, Weiner neither confirmed nor denied the statement, saying that though he did not want to impinge the privacy of any of the women, neither would
he contradict any of their statements.[40] At his press conference, Weiner did admit that he had exchanged the reported sexting messages with his accuser.[40][45]
More:
https://en.wikipedia.org/wiki/Anthony_Weiner_sexting_scandals#Initial_media_reports_and_Weiner.27s_denial