What two values of x make the equation |x|+4=7|x|+4=7 true?(1 point)

To solve the equation \( |x| + 4 = 7 \), we start by isolating the absolute value:

\[
|x| + 4 = 7
\]

Subtract 4 from both sides:

\[
|x| = 3
\]

The absolute value equation \( |x| = 3 \) means that \( x \) can be either 3 or -3. Therefore, the two values of \( x \) that make the equation true are:

\[
3 \text{ and } -3
\]

Among the responses, the correct answer is:

**3 and -3**