To solve the equation \(|x| + 4 = 7\), first we isolate \(|x|\):
\[ |x| = 7 - 4 \] \[ |x| = 3 \]
The absolute value equation \(|x| = 3\) gives us two possible solutions:
\[ x = 3 \quad \text{or} \quad x = -3 \]
So the values of \(x\) that make the equation true are \(3\) and \(-3\).
The correct response is: 3 and −3 (or 3 and negative 3).