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x_{6}\times 96-3\times \frac{6}{5}
Divide 3 by \frac{5}{6} by multiplying 3 by the reciprocal of \frac{5}{6}.
x_{6}\times 96-\frac{3\times 6}{5}
Express 3\times \frac{6}{5} as a single fraction.
x_{6}\times 96-\frac{18}{5}
Multiply 3 and 6 to get 18.
\frac{6\left(80x_{6}-3\right)}{5}
Factor out \frac{6}{5}.