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Solve for x_9
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\frac{44}{23}\times 7x_{9}=789\times 6
Multiply both sides by 6.
\frac{44\times 7}{23}x_{9}=789\times 6
Express \frac{44}{23}\times 7 as a single fraction.
\frac{308}{23}x_{9}=789\times 6
Multiply 44 and 7 to get 308.
\frac{308}{23}x_{9}=4734
Multiply 789 and 6 to get 4734.
x_{9}=4734\times \frac{23}{308}
Multiply both sides by \frac{23}{308}, the reciprocal of \frac{308}{23}.
x_{9}=\frac{4734\times 23}{308}
Express 4734\times \frac{23}{308} as a single fraction.
x_{9}=\frac{108882}{308}
Multiply 4734 and 23 to get 108882.
x_{9}=\frac{54441}{154}
Reduce the fraction \frac{108882}{308} to lowest terms by extracting and canceling out 2.