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\sqrt{3}x-\frac{2}{2}-\frac{1}{2}
Convert -1 to fraction -\frac{2}{2}.
\sqrt{3}x+\frac{-2-1}{2}
Since -\frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
\sqrt{3}x-\frac{3}{2}
Subtract 1 from -2 to get -3.
\frac{2\sqrt{3}x-3}{2}
Factor out \frac{1}{2}.