My boyfriend is texting other girls what should I do?

I found out my boyfriend has been texting other girls. We had, I thought, a very honest relationship. He has given me his phone and computer passwords, though I never had the need to look through his messages because I trusted him. Lately things have felt... off. Something was different but I didn't know what. He works night and I go to school so we don't see each other as much as I'd like and we're always tired. The last few weeks, I've had to initiate bedroom activities and even then it was off, different. I can't explain it but I knew something was up.
Today, when I got back from school I went on his computer. He has his phone and computer synced up so I could look at his messages. He had been texting this girl for the last few days, a lot. I scrolled back and found out he had been flirting with her before we were a thing, which, who cares it was before I was in the picture. But he never said, not once, in the recent messages that he had a girlfriend. I could tell she was flirting with him but his responses were not fully flirty but not not flirty. The older messages, the ones before we were dating, I found he use to call her the nickname he calls me. I don't know what to do. I'm angry at him but if it's not what I think it is then I'm going to feel stupid. But it really bothers me that he never mentioned that he has a girlfriend. I mean the things like vacations he told her about, the ones I went on with him he never mentions me. I'm hurt and angry and confused.
My boyfriend is texting other girls what should I do?
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