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9>x+39x+2
Multiply 13 and 3 to get 39.
9>40x+2
Combine x and 39x to get 40x.
40x+2<9
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
40x<9-2
Subtract 2 from both sides.
40x<7
Subtract 2 from 9 to get 7.
x<\frac{7}{40}
Divide both sides by 40. Since 40 is positive, the inequality direction remains the same.