Maybe I'm not as good at math as I thought. How can I get only 7000 visits from over 10,000 keywords? See image below from Google Analytics.
Okay, so after I started posting this, I figured out what happened. On the above image, I had it set to compare to a previous period. I think it counted the keywords from both periods. Once I unchecked the "compare to past" box, it came down to 5690 keywords. I still suspect GA is not counting right, but at least it fits better now.