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1.
transitive verb
: to send a text message from one cell phone to another while also sending a tweet to the same person.
intransitive verb
: to communicate by text messaging and tweeting simultaneously.
Henry and I had a long series of twexts. I decided to call him.
by Atlanta MDB June 24, 2009
 
2.
Sexting on twitter
While Mike was doing it with Angela, he twext his good time on twitter
by Travis0205 June 08, 2014