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\frac{3\left(x+1\right)\left(-x^{2}+x+1\right)}{3x}+\frac{2x}{3x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and 3 is 3x. Multiply \frac{\left(x+1\right)\left(-x^{2}+x+1\right)}{x} times \frac{3}{3}. Multiply \frac{2}{3} times \frac{x}{x}.
\frac{3\left(x+1\right)\left(-x^{2}+x+1\right)+2x}{3x}
Since \frac{3\left(x+1\right)\left(-x^{2}+x+1\right)}{3x} and \frac{2x}{3x} have the same denominator, add them by adding their numerators.
\frac{-3x^{3}+3x^{2}+3x-3x^{2}+3x+3+2x}{3x}
Do the multiplications in 3\left(x+1\right)\left(-x^{2}+x+1\right)+2x.
\frac{-3x^{3}+8x+3}{3x}
Combine like terms in -3x^{3}+3x^{2}+3x-3x^{2}+3x+3+2x.
\frac{3\left(x+1\right)\left(-x^{2}+x+1\right)}{3x}+\frac{2x}{3x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and 3 is 3x. Multiply \frac{\left(x+1\right)\left(-x^{2}+x+1\right)}{x} times \frac{3}{3}. Multiply \frac{2}{3} times \frac{x}{x}.
\frac{3\left(x+1\right)\left(-x^{2}+x+1\right)+2x}{3x}
Since \frac{3\left(x+1\right)\left(-x^{2}+x+1\right)}{3x} and \frac{2x}{3x} have the same denominator, add them by adding their numerators.
\frac{-3x^{3}+3x^{2}+3x-3x^{2}+3x+3+2x}{3x}
Do the multiplications in 3\left(x+1\right)\left(-x^{2}+x+1\right)+2x.
\frac{-3x^{3}+8x+3}{3x}
Combine like terms in -3x^{3}+3x^{2}+3x-3x^{2}+3x+3+2x.