#### Answer

$|x+6|\leq7$

#### Work Step by Step

$|u|\lt a~↔~-a\lt u\lt a$
$|u|\leq a~↔~-a\leq u\leq a$
$|u|\gt a~↔~u\lt-a~or~u\gt a$
$|u|\geq a~↔~u\leq-a~or~u\geq a$
The numbers must be greater than or equal to -13 and less than or equal to 1:
$-13\leq x\leq1$
$-13+6\leq x+6\leq1+6$
$-7\leq x+6\leq7$
$|x+6|\leq7$