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-\frac{1}{7}x-\frac{6}{7}=O
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{7}x=O+\frac{6}{7}
Add \frac{6}{7} to both sides.
\frac{-\frac{1}{7}x}{-\frac{1}{7}}=\frac{O+\frac{6}{7}}{-\frac{1}{7}}
Multiply both sides by -7.
x=\frac{O+\frac{6}{7}}{-\frac{1}{7}}
Dividing by -\frac{1}{7} undoes the multiplication by -\frac{1}{7}.
x=-7O-6
Divide O+\frac{6}{7} by -\frac{1}{7} by multiplying O+\frac{6}{7} by the reciprocal of -\frac{1}{7}.