Answer: x = -9
Step-by-step explanation:To solve for x in the equation G(x) = 13 - 8(x + 5) = 45, you need to isolate x:
Start with the equation:
13 - 8(x + 5) = 45
First, distribute the -8 on the left side of the equation:
13 - 8x - 40 = 45
Combine like terms on the left side:
-8x - 27 = 45
Add 27 to both sides to isolate -8x:
-8x = 45 + 27
-8x = 72
Now, divide by -8 to solve for x:
x = 72 / -8
x = -9
So, the solution to the equation G(x) = 13 - 8(x + 5) = 45 is x = -9.