Almost cheated on girlfriend, didn't say anything, now she can't trust me?

Anonymous
So I almost cheated on my girlfriend through sexual texting which would've led to sex. But It went on for a few months, recently I stopped cause I knew I didn't want it to lead to that and for us to break up. Problem is I never told my girlfriend, and now she found out.

I love her to death honestly. Technically we already broke up, at my house, with her two best friends invited over in the next room...but then she messaged me that night crying saying she doesn't know what to do. Her head tells her to stay away from me but her heart knows that she still loves me...

One of her friends tells her to stay away from me and the other says she'll be happy if we can stay together.

I've pretty much completely poured my heart and soul to her talking to her trying to work things out. But she still doesn't believe me and says she isn't sure if we can fix this or if she can trust me like that again. How can I convince her that I'm done with the lies and want to fix this with her and just be with her? How can I get her to believe me?
Almost cheated on girlfriend, didn't say anything, now she can't trust me?
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