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-\frac{1}{3}x+1=0
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{3}x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=-\left(-3\right)
Multiply both sides by -3, the reciprocal of -\frac{1}{3}.
x=3
Multiply -1 and -3 to get 3.