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Solve for x_1
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7x_{1}-x_{2}=F
Swap sides so that all variable terms are on the left hand side.
7x_{1}=F+x_{2}
Add x_{2} to both sides.
7x_{1}=x_{2}+F
The equation is in standard form.
\frac{7x_{1}}{7}=\frac{x_{2}+F}{7}
Divide both sides by 7.
x_{1}=\frac{x_{2}+F}{7}
Dividing by 7 undoes the multiplication by 7.