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0.9x-0.8x>75
Subtract 0.8x from both sides.
0.1x>75
Combine 0.9x and -0.8x to get 0.1x.
x>\frac{75}{0.1}
Divide both sides by 0.1. Since 0.1 is positive, the inequality direction remains the same.
x>750
Expand \frac{75}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.