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3x+1=3-x
Variable x cannot be equal to -\frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 3x+1.
3x+1+x=3
Add x to both sides.
4x+1=3
Combine 3x and x to get 4x.
4x=3-1
Subtract 1 from both sides.
4x=2
Subtract 1 from 3 to get 2.
x=\frac{2}{4}
Divide both sides by 4.
x=\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.