Answer
$-12\lt x\lt4$
Work Step by Step
$|x+4|\lt8\longrightarrow$ write a compound inequality
$-8\lt x+4\lt8\longrightarrow$ subtract 4 from all parts
$-8-4\lt x+4-4\lt8-4\longrightarrow$ subtract
$-12\lt x\lt4$
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