Equivalent block diagrams, how to infer?
Here's a tip, simplify by visual inspection. Look at the two final blocks of H(s) and F(s). Can you see that if you switched the order that those two occured, you don't need the F(s) block in the short feedback loop.

Then if you looked at the polarity of H(s) being fed back you can see that all those terms cancel out - just look at the signs on the adders: -

X (input to G(s)) = -H(s) - 1 + H(s) = -1 i.e. there is nothing about H(s) that gets fed back and iterated: -