5. Simplify to (-x^2)-(x)-1/(x+1)(x-1)
From here I'm not sure what I should do, but I think it could be simpler.
As the lesson mentioned, the "simplified" form of many rational expressions is often not, in appearance, much "simpler" than that with which one began. This could be one of those instances.
It should be noted, however, that most instructors and texts prefer to clear leading negatives. In your case, this would mean something along the lines of the following:
The numerator is not factorable over the integers, so further simplification is unlikely.