Answer
{$-5,23$}
Work Step by Step
Step 1: $|x-9|=14$
Step 2: Using the absolute value property, $x-9=14$ or $x-9=-14$
Step 3: $x-9+9=14+9$ or $x-9+9=-14+9$
Step 4: $x=23$ or $x=-5$
Step 5: Therefore, the solution set is {$-5,23$}
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