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[tex]\large\boxed{x = 6, 10}[/tex]
|x - 8| + 7 = 9
Subtract 7 from both sides:
|x - 8| = 2
Solve for both solutions by evaluating the expression as negative and positive:
x - 8 = 2
x = 10
-(x - 8) = 2
Divide both sides by -1:
x - 8 = -2
x = 6.
Therefore, the solutions are:
x = 6, 10
