Step 1 :Find the value of h(-7) by substituting -7 into the function h(x) = -x + 3. This gives us h(-7) = 10.
Step 2 :Substitute the value of h(-7) into the function f(x) = -5x - 1. This gives us f(10) = -51.
Step 3 :The final answer is \(\boxed{-51}\).