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\frac{1}{2}\left(4x+3x-3\right)
Use the distributive property to multiply 3 by x-1.
\frac{1}{2}\left(7x-3\right)
Combine 4x and 3x to get 7x.
\frac{1}{2}\times 7x+\frac{1}{2}\left(-3\right)
Use the distributive property to multiply \frac{1}{2} by 7x-3.
\frac{7}{2}x+\frac{1}{2}\left(-3\right)
Multiply \frac{1}{2} and 7 to get \frac{7}{2}.
\frac{7}{2}x+\frac{-3}{2}
Multiply \frac{1}{2} and -3 to get \frac{-3}{2}.
\frac{7}{2}x-\frac{3}{2}
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
\frac{1}{2}\left(4x+3x-3\right)
Use the distributive property to multiply 3 by x-1.
\frac{1}{2}\left(7x-3\right)
Combine 4x and 3x to get 7x.
\frac{1}{2}\times 7x+\frac{1}{2}\left(-3\right)
Use the distributive property to multiply \frac{1}{2} by 7x-3.
\frac{7}{2}x+\frac{1}{2}\left(-3\right)
Multiply \frac{1}{2} and 7 to get \frac{7}{2}.
\frac{7}{2}x+\frac{-3}{2}
Multiply \frac{1}{2} and -3 to get \frac{-3}{2}.
\frac{7}{2}x-\frac{3}{2}
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.