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-6x-34>-4
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-6x>-4+34
Add 34 to both sides.
-6x>30
Add -4 and 34 to get 30.
x<\frac{30}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
x<-5
Divide 30 by -6 to get -5.