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160+5x<6\times 75
Multiply both sides by 75. Since 75 is positive, the inequality direction remains the same.
160+5x<450
Multiply 6 and 75 to get 450.
5x<450-160
Subtract 160 from both sides.
5x<290
Subtract 160 from 450 to get 290.
x<\frac{290}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x<58
Divide 290 by 5 to get 58.