he said "I would love to fuck you." to another woman and then lied

He will admit that is was wrong but denies that it is cheating. 

He is in Kuwait and has been for six months. He came in to see me over thanksgiving. Less than a week after he left (about three days) he asked me to go to his email and finish printing out papers for our cruise. That's when I found them. They were in the trash bin, so clearly being hid. When I asked him at first he said I have nothing to worry about, then when I started reading them to him he told the truth. How do I forgive him if he isn't here to fix it? I'm not even sure if it's cheatin . It just hurts the most that the week he spent with me wasn't enough for him to stop whatever he was doing before he came here.