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x+3x-21=6-4\left(2x+3\right)
Use the distributive property to multiply 3 by x-7.
4x-21=6-4\left(2x+3\right)
Combine x and 3x to get 4x.
4x-21=6-8x-12
Use the distributive property to multiply -4 by 2x+3.
4x-21=-6-8x
Subtract 12 from 6 to get -6.
4x-21+8x=-6
Add 8x to both sides.
12x-21=-6
Combine 4x and 8x to get 12x.
12x=-6+21
Add 21 to both sides.
12x=15
Add -6 and 21 to get 15.
x=\frac{15}{12}
Divide both sides by 12.
x=\frac{5}{4}
Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.