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-9x+6<-3
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-9x<-3-6
Subtract 6 from both sides.
-9x<-9
Subtract 6 from -3 to get -9.
x>\frac{-9}{-9}
Divide both sides by -9. Since -9 is negative, the inequality direction is changed.
x>1
Divide -9 by -9 to get 1.