Answer:
[tex]x = - 3 \: \: and \: \: x = - 11[/tex]
Step-by-step explanation:
[tex] - 3 |x + 7| = - 12 \\ |x + 7| = ( - 12) \div ( - 3) \\ |x + 7| = 4 \\ 1. \: x + 7 = 4 \: \: \: 2. \: x + 7 = - 4 \\ \: \: \: \: x = 4 - 7 \: \: \: \: \: \: \: \: x = - 4 - 7 \\ \: \: \: \: x = - 3 \: \: \: \: \: \: \: \: \: \: \: \: x = - 11[/tex]