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7x-10-9x<-3
Subtract 9x from both sides.
-2x-10<-3
Combine 7x and -9x to get -2x.
-2x<-3+10
Add 10 to both sides.
-2x<7
Add -3 and 10 to get 7.
x>-\frac{7}{2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.