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10x>120-45
Subtract 45 from both sides.
10x>75
Subtract 45 from 120 to get 75.
x>\frac{75}{10}
Divide both sides by 10. Since 10 is positive, the inequality direction remains the same.
x>\frac{15}{2}
Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.