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8x=\frac{4}{9}\times 7
Multiply both sides by 7.
8x=\frac{4\times 7}{9}
Express \frac{4}{9}\times 7 as a single fraction.
8x=\frac{28}{9}
Multiply 4 and 7 to get 28.
x=\frac{\frac{28}{9}}{8}
Divide both sides by 8.
x=\frac{28}{9\times 8}
Express \frac{\frac{28}{9}}{8} as a single fraction.
x=\frac{28}{72}
Multiply 9 and 8 to get 72.
x=\frac{7}{18}
Reduce the fraction \frac{28}{72} to lowest terms by extracting and canceling out 4.