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9\times \frac{0.75}{6.75}=x
Multiply both sides of the equation by 9.
9\times \frac{75}{675}=x
Expand \frac{0.75}{6.75} by multiplying both numerator and the denominator by 100.
9\times \frac{1}{9}=x
Reduce the fraction \frac{75}{675} to lowest terms by extracting and canceling out 75.
1=x
Cancel out 9 and 9.
x=1
Swap sides so that all variable terms are on the left hand side.