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513x-7-4x<-5
Subtract 4x from both sides.
509x-7<-5
Combine 513x and -4x to get 509x.
509x<-5+7
Add 7 to both sides.
509x<2
Add -5 and 7 to get 2.
x<\frac{2}{509}
Divide both sides by 509. Since 509 is positive, the inequality direction remains the same.