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\frac{x^{2}+5x^{2}+5x}{5}
Factor out \frac{1}{5}.
x\left(x+5x+5\right)
Consider x^{2}+5x^{2}+5x. Factor out x.
6x+5
Consider x+5x+5. Multiply and combine like terms.
\frac{x\left(6x+5\right)}{5}
Rewrite the complete factored expression.
\frac{6}{5}x^{2}+x
Combine \frac{x^{2}}{5} and x^{2} to get \frac{6}{5}x^{2}.