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3x=1-\frac{7}{3}
Divide 3 by 3 to get 1.
3x=\frac{3}{3}-\frac{7}{3}
Convert 1 to fraction \frac{3}{3}.
3x=\frac{3-7}{3}
Since \frac{3}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.
3x=-\frac{4}{3}
Subtract 7 from 3 to get -4.
x=\frac{-\frac{4}{3}}{3}
Divide both sides by 3.
x=\frac{-4}{3\times 3}
Express \frac{-\frac{4}{3}}{3} as a single fraction.
x=\frac{-4}{9}
Multiply 3 and 3 to get 9.
x=-\frac{4}{9}
Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.