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-30-4x<-6
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-4x<-6+30
Add 30 to both sides.
-4x<24
Add -6 and 30 to get 24.
x>\frac{24}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x>-6
Divide 24 by -4 to get -6.