Answer
$= \frac{35}{96}$
Work Step by Step
1. Use the distributive property to simplify:
$= x(\frac{1}{2} + \frac{2}{3} - \frac{3}{4})$
$=x(\frac{6}{12}+\frac{8}{12}-\frac{9}{12})$
$= x(\frac{5}{12})$
2. Substitute the value for $x$
$= \frac{7}{8}(\frac{5}{12})$
$= \frac{35}{96}$