Answer
$x =$ $\frac{3}{2}$
Work Step by Step
$\mid$$x + 4$$\mid$ $=$ $\mid$$7 - x$$\mid$
$x + 4 = 7 - x$
$2x = 3$
$x =$ $\frac{3}{2}$
$\mid$$x + 4$$\mid$ $=$ $\mid$$7 - x$$\mid$
$x + 4 = -7 + x$
$0 = -11$
$\varnothing$
$Therefore, x =$ $\frac{3}{2}$ $is$ $the$ $only$ $answer$.