# How do you solve |-7x + 7| + 7 = 49?

Jun 5, 2016

$x = - 5 \mathmr{and} x = 7$

#### Explanation:

$| - 7 x + 7 | = 49 - 7$
$| - 7 x + 7 | = 42$
$- 7 x + 7 = \pm 42$

1) $- 7 x = 42 - 7$
$- 7 x = 35$
$x = - 5$

2) $- 7 x = - 42 - 7$
$- 7 x = - 49$
$x = 7$