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\frac{9\left(2x-7\right)}{2x-7}-\frac{3x}{2x-7}
To add or subtract expressions, expand them to make their denominators the same. Multiply 9 times \frac{2x-7}{2x-7}.
\frac{9\left(2x-7\right)-3x}{2x-7}
Since \frac{9\left(2x-7\right)}{2x-7} and \frac{3x}{2x-7} have the same denominator, subtract them by subtracting their numerators.
\frac{18x-63-3x}{2x-7}
Do the multiplications in 9\left(2x-7\right)-3x.
\frac{15x-63}{2x-7}
Combine like terms in 18x-63-3x.