Answer:
The solutions are x = -7 and x = -9
Explanation:
All absolute values are non-negative numbers, so x + 8 will always be greater than 0. This means that |x + 8| = 1 can be represented as x + 8 = 1 AND x + 8 = -1.
x + 8 = 1 ⇒ x = -7
x + 8 = -1 ⇒ x = -9
So the solutions are x equals -7 or -9.