#### Answer

x = -9

#### Work Step by Step

$\frac{5}{6}x + \frac{1}{6}x$ = -9
Combine like terms:
$\frac{6}{6}x$ = -9
Simplify:
x = -9
Check with substitution:
$\frac{5}{6}(-9) + \frac{1}{6}(-9)$ = -9
$\frac{-45}{6} + \frac{-9}{6}$ = -9
$\frac{-54}{6}$ = -9
-9 = -9