Does "although I am not hungry, I eat" not mean the same thing as "I eat although I am not hungry"?
It's exactly the same meaning, just different word order. If you answered and it said it was wrong, you should flag it
I wrote "i am not hungry although i eat" and was counted wrong even though i flagged it on my last trip through this lesson? Am i just wrong?
I think so. In your sentence, "although" is attached to eating whereas in the example sentence "although" is attached to not being hungry.