First, check the leading edge of the door and see if it has a bevel on it that is now facing the wrong way. Doors often have a little 3 degree bevel so that the leading edge of the door doesn't hit the jamb as it closes. Don't know how you flipped it but that's one possibility. If that isnt it... try sinking some long screws through the hinge that will catch the framing. That will pull a heavy door tighter and open up a slight gap on the latch side, depending on how much you shim behind the hinge and how tight you tighten the screws. You will likely need to remove the existing shim. Also, if you are jamming a tapered shim in there, that may be twisting the jamb, causing the hinge to be pushed too far to the left.

Thanks for the advise, XSleeper! When I get home I will check to see if the door is plumb vertically when I open the door 1/8 inches. Hopefully it is. If it is then the solution may be as easy as clamping it like you said and driving some of those finish screws you recommended. And would you drive these screws through the exterior jamb, and not the door stop or jamb where the door rests when closed?

You will be screwing in 2 different places. First, the trim to the door. (To eliminate the gap) Second, the jamb to the stud. (To make it even more secure)