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\frac{1}{2}\left(2x+2x-6\right)
Use the distributive property to multiply 2 by x-3.
\frac{1}{2}\left(4x-6\right)
Combine 2x and 2x to get 4x.
\frac{1}{2}\times 4x+\frac{1}{2}\left(-6\right)
Use the distributive property to multiply \frac{1}{2} by 4x-6.
\frac{4}{2}x+\frac{1}{2}\left(-6\right)
Multiply \frac{1}{2} and 4 to get \frac{4}{2}.
2x+\frac{1}{2}\left(-6\right)
Divide 4 by 2 to get 2.
2x+\frac{-6}{2}
Multiply \frac{1}{2} and -6 to get \frac{-6}{2}.
2x-3
Divide -6 by 2 to get -3.
\frac{1}{2}\left(2x+2x-6\right)
Use the distributive property to multiply 2 by x-3.
\frac{1}{2}\left(4x-6\right)
Combine 2x and 2x to get 4x.
\frac{1}{2}\times 4x+\frac{1}{2}\left(-6\right)
Use the distributive property to multiply \frac{1}{2} by 4x-6.
\frac{4}{2}x+\frac{1}{2}\left(-6\right)
Multiply \frac{1}{2} and 4 to get \frac{4}{2}.
2x+\frac{1}{2}\left(-6\right)
Divide 4 by 2 to get 2.
2x+\frac{-6}{2}
Multiply \frac{1}{2} and -6 to get \frac{-6}{2}.
2x-3
Divide -6 by 2 to get -3.