Answer
{$15,-7$}
Work Step by Step
Step 1: $|x-4|=11$
Step 2: Using the absolute value property, $x-4=11$ or $x-4=-11$
Step 3: $x-4+4=11+4$ or $x-4+4=-11+4$
Step 4: $x=15$ or $x=-7$
Step 5: Therefore, the solution set is {$15,-7$}.
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