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