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9\times 9x=10\times 7.2
Multiply both sides of the equation by 90, the least common multiple of 10,9.
81x=10\times 7.2
Multiply 9 and 9 to get 81.
81x=72
Multiply 10 and 7.2 to get 72.
x=\frac{72}{81}
Divide both sides by 81.
x=\frac{8}{9}
Reduce the fraction \frac{72}{81} to lowest terms by extracting and canceling out 9.