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-9x+7>35-5x
Use the distributive property to multiply 5 by 7-x.
-9x+7+5x>35
Add 5x to both sides.
-4x+7>35
Combine -9x and 5x to get -4x.
-4x>35-7
Subtract 7 from both sides.
-4x>28
Subtract 7 from 35 to get 28.
x<\frac{28}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x<-7
Divide 28 by -4 to get -7.