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\frac{-xx^{2}+6x-xy^{2}+x}{3}
Factor out \frac{1}{3}.
x\left(-x^{2}+7-y^{2}\right)
Consider -x^{3}+6x-xy^{2}+x. Factor out x.
\frac{x\left(-x^{2}-y^{2}+7\right)}{3}
Rewrite the complete factored expression.