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-\frac{x^{2}}{3}+\frac{3\left(2x+1\right)}{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2x+1 times \frac{3}{3}.
\frac{-x^{2}+3\left(2x+1\right)}{3}
Since -\frac{x^{2}}{3} and \frac{3\left(2x+1\right)}{3} have the same denominator, add them by adding their numerators.
\frac{-x^{2}+6x+3}{3}
Do the multiplications in -x^{2}+3\left(2x+1\right).