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\frac{\left(6x-1\right)x^{4}}{x\left(x-1\right)}
Factor the expressions that are not already factored.
\frac{\left(6x-1\right)x^{3}}{x-1}
Cancel out x in both numerator and denominator.
\frac{6x^{4}-x^{3}}{x-1}
Expand the expression.
\frac{\left(6x-1\right)x^{4}}{x\left(x-1\right)}
Factor the expressions that are not already factored.
\frac{\left(6x-1\right)x^{3}}{x-1}
Cancel out x in both numerator and denominator.
\frac{6x^{4}-x^{3}}{x-1}
Expand the expression.