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x+3=3\left(-x+3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by -x+3.
x+3=-3x+9
Use the distributive property to multiply 3 by -x+3.
x+3+3x=9
Add 3x to both sides.
4x+3=9
Combine x and 3x to get 4x.
4x=9-3
Subtract 3 from both sides.
4x=6
Subtract 3 from 9 to get 6.
x=\frac{6}{4}
Divide both sides by 4.
x=\frac{3}{2}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.