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4x+1-x=0
Subtract x from both sides.
3x+1=0
Combine 4x and -x to get 3x.
3x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{3}
Divide both sides by 3.
x=-\frac{1}{3}
Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.