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\frac{1}{3}x-1+3x=-3
Add 3x to both sides.
\frac{10}{3}x-1=-3
Combine \frac{1}{3}x and 3x to get \frac{10}{3}x.
\frac{10}{3}x=-3+1
Add 1 to both sides.
\frac{10}{3}x=-2
Add -3 and 1 to get -2.
x=-2\times \frac{3}{10}
Multiply both sides by \frac{3}{10}, the reciprocal of \frac{10}{3}.
x=\frac{-2\times 3}{10}
Express -2\times \frac{3}{10} as a single fraction.
x=\frac{-6}{10}
Multiply -2 and 3 to get -6.
x=-\frac{3}{5}
Reduce the fraction \frac{-6}{10} to lowest terms by extracting and canceling out 2.