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-32x-12-6<-114
Use the distributive property to multiply -4 by 8x+3.
-32x-18<-114
Subtract 6 from -12 to get -18.
-32x<-114+18
Add 18 to both sides.
-32x<-96
Add -114 and 18 to get -96.
x>\frac{-96}{-32}
Divide both sides by -32. Since -32 is negative, the inequality direction is changed.
x>3
Divide -96 by -32 to get 3.