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3x-3+4\left(x+3\right)=5x+7-2\left(x-3\right)
Use the distributive property to multiply 3 by x-1.
3x-3+4x+12=5x+7-2\left(x-3\right)
Use the distributive property to multiply 4 by x+3.
7x-3+12=5x+7-2\left(x-3\right)
Combine 3x and 4x to get 7x.
7x+9=5x+7-2\left(x-3\right)
Add -3 and 12 to get 9.
7x+9=5x+7-2x+6
Use the distributive property to multiply -2 by x-3.
7x+9=3x+7+6
Combine 5x and -2x to get 3x.
7x+9=3x+13
Add 7 and 6 to get 13.
7x+9-3x=13
Subtract 3x from both sides.
4x+9=13
Combine 7x and -3x to get 4x.
4x=13-9
Subtract 9 from both sides.
4x=4
Subtract 9 from 13 to get 4.
x=\frac{4}{4}
Divide both sides by 4.
x=1
Divide 4 by 4 to get 1.