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-\frac{3}{7}=x-1
Divide both sides by -7.
x-1=-\frac{3}{7}
Swap sides so that all variable terms are on the left hand side.
x=-\frac{3}{7}+1
Add 1 to both sides.
x=-\frac{3}{7}+\frac{7}{7}
Convert 1 to fraction \frac{7}{7}.
x=\frac{-3+7}{7}
Since -\frac{3}{7} and \frac{7}{7} have the same denominator, add them by adding their numerators.
x=\frac{4}{7}
Add -3 and 7 to get 4.