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