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5x-14x+21=3\left(4x-1\right)-17x
Use the distributive property to multiply -7 by 2x-3.
-9x+21=3\left(4x-1\right)-17x
Combine 5x and -14x to get -9x.
-9x+21=12x-3-17x
Use the distributive property to multiply 3 by 4x-1.
-9x+21=-5x-3
Combine 12x and -17x to get -5x.
-9x+21+5x=-3
Add 5x to both sides.
-4x+21=-3
Combine -9x and 5x to get -4x.
-4x=-3-21
Subtract 21 from both sides.
-4x=-24
Subtract 21 from -3 to get -24.
x=\frac{-24}{-4}
Divide both sides by -4.
x=6
Divide -24 by -4 to get 6.