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Answer: x = -1 or 15

Step-by-step explanation:

If the absolute value equals 8, the value of x - 7 can either be -8 or 8.

We first solve for when it is equal to -8:

x - 7 = -8

We can add 7 to both sides:

x = -1

Now we can solve for when it's equal to 8:

x - 7 = 8

We can add 7 to both sides:

x = 15

7+8 = 15
so inverse that
15-7=8
x = 15