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-2x+4-4x<-44
Subtract 4x from both sides.
-6x+4<-44
Combine -2x and -4x to get -6x.
-6x<-44-4
Subtract 4 from both sides.
-6x<-48
Subtract 4 from -44 to get -48.
x>\frac{-48}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
x>8
Divide -48 by -6 to get 8.