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6-5x<39x+13
Multiply both sides of the equation by 13. Since 13 is positive, the inequality direction remains the same.
6-5x-39x<13
Subtract 39x from both sides.
6-44x<13
Combine -5x and -39x to get -44x.
-44x<13-6
Subtract 6 from both sides.
-44x<7
Subtract 6 from 13 to get 7.
x>-\frac{7}{44}
Divide both sides by -44. Since -44 is negative, the inequality direction is changed.