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\frac{1}{3}\times 9x+\frac{1}{3}\left(-3\right)-5\left(x-3\right)
Use the distributive property to multiply \frac{1}{3} by 9x-3.
\frac{9}{3}x+\frac{1}{3}\left(-3\right)-5\left(x-3\right)
Multiply \frac{1}{3} and 9 to get \frac{9}{3}.
3x+\frac{1}{3}\left(-3\right)-5\left(x-3\right)
Divide 9 by 3 to get 3.
3x+\frac{-3}{3}-5\left(x-3\right)
Multiply \frac{1}{3} and -3 to get \frac{-3}{3}.
3x-1-5\left(x-3\right)
Divide -3 by 3 to get -1.
3x-1-5x+15
Use the distributive property to multiply -5 by x-3.
-2x-1+15
Combine 3x and -5x to get -2x.
-2x+14
Add -1 and 15 to get 14.
\frac{1}{3}\times 9x+\frac{1}{3}\left(-3\right)-5\left(x-3\right)
Use the distributive property to multiply \frac{1}{3} by 9x-3.
\frac{9}{3}x+\frac{1}{3}\left(-3\right)-5\left(x-3\right)
Multiply \frac{1}{3} and 9 to get \frac{9}{3}.
3x+\frac{1}{3}\left(-3\right)-5\left(x-3\right)
Divide 9 by 3 to get 3.
3x+\frac{-3}{3}-5\left(x-3\right)
Multiply \frac{1}{3} and -3 to get \frac{-3}{3}.
3x-1-5\left(x-3\right)
Divide -3 by 3 to get -1.
3x-1-5x+15
Use the distributive property to multiply -5 by x-3.
-2x-1+15
Combine 3x and -5x to get -2x.
-2x+14
Add -1 and 15 to get 14.