How to deal with emotional cheating?

I recently went onto the computer I share with my boyfriend, and came across an email account that I had never seen before. After a little digging I was able to find the pword and open the account. In the inbox was a months worth of naked pictures from 2 girls, both of which I have expressed concern about and he has a history with. I am completely hurt by this, but decided that it is worth trying to get over. I spent some time talking to him about it, and he was completely honest with me about everything. He expressed that losing me is the worst thing that could happen to him, and has agreed to do whatever necessary to fix things. He cut off all contact with both females and offered me full access to anything I want to check, if need be. He has been very remorseful and doing anything he can to show he is sorry. I want so badly to forgive him, and to move on to trying to rebuild our relationship. While he didn't cheat on my physically, he did emotionally and mentally and it kills me. I love him and believe he will truly make every effort to never put us in this situation again. But what I don't know how to do is let go of the betrayal feeling and move on with life. How do I get ped the hurt feelings I have? How can I begin to forgive him, so that we can work on building our relationship again? Ending my relationship is not an option here so I would really appreciate any advice from anyone who has gone through this.