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-x+8>2\times 16
Multiply both sides by 16. Since 16 is positive, the inequality direction remains the same.
-x+8>32
Multiply 2 and 16 to get 32.
-x>32-8
Subtract 8 from both sides.
-x>24
Subtract 8 from 32 to get 24.
x<-24
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.