To solve the equation, we can simplify both sides and then solve for x.

Starting with the left side of the equation:
(-9 - x) + (x - 14)

We can simplify this by combining like terms:
-9 + (-14) = -23

Now let's simplify the right side of the equation:
17 - (-8 + x)

First, simplify the expression inside the parentheses:
-8 + x = x - 8

Now substitute this back into the equation:
17 - (x - 8)

To remove the parentheses, distribute the negative sign:
17 - x + 8

Combine like terms:
25 - x

Now we have the equation:
-23 = 25 - x

To solve for x, we can isolate it by subtracting 25 from both sides:
-23 - 25 = -x

Simplifying:
-48 = -x

To solve for x, we can multiply both sides by -1 to get rid of the negative sign:
48 = x

Therefore, the solution to the equation is x = 48.