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8x=75\times 12
Multiply both sides of the equation by 1200, the least common multiple of 150,16.
8x=900
Multiply 75 and 12 to get 900.
x=\frac{900}{8}
Divide both sides by 8.
x=\frac{225}{2}
Reduce the fraction \frac{900}{8} to lowest terms by extracting and canceling out 4.