Verified Answer :

luana

\(-1=-|5x+7|\\\\Formula\ for\ absolute\ value\\\\ |a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a<0\\\\\\ -1=-(5x+7)\ \ \ \ or\ \ \ \ -1=-(-5x-7)\\ -1=-5x-7\ \ \ \ or\ \ \ \ -1=5x+7\\ 6=-5x\ \ \ \ or\ \ \ \ -8=5x\\ \boxed{x=-\frac{6}{5}\ \ \ or\ \ \ x=-\frac{8}{5}}\)

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