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\frac{7x\times 3\left(x-6\right)^{2}}{\left(x-6\right)x}
Divide \frac{7x}{x-6} by \frac{x}{3\left(x-6\right)^{2}} by multiplying \frac{7x}{x-6} by the reciprocal of \frac{x}{3\left(x-6\right)^{2}}.
3\times 7\left(x-6\right)
Cancel out x\left(x-6\right) in both numerator and denominator.
21\left(x-6\right)
Multiply 3 and 7 to get 21.
21x-126
Use the distributive property to multiply 21 by x-6.
\frac{7x\times 3\left(x-6\right)^{2}}{\left(x-6\right)x}
Divide \frac{7x}{x-6} by \frac{x}{3\left(x-6\right)^{2}} by multiplying \frac{7x}{x-6} by the reciprocal of \frac{x}{3\left(x-6\right)^{2}}.
3\times 7\left(x-6\right)
Cancel out x\left(x-6\right) in both numerator and denominator.
21\left(x-6\right)
Multiply 3 and 7 to get 21.
21x-126
Use the distributive property to multiply 21 by x-6.