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15.75-0.07x=C
Swap sides so that all variable terms are on the left hand side.
-0.07x=C-15.75
Subtract 15.75 from both sides.
\frac{-0.07x}{-0.07}=\frac{C-15.75}{-0.07}
Divide both sides of the equation by -0.07, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{C-15.75}{-0.07}
Dividing by -0.07 undoes the multiplication by -0.07.
x=-\frac{100C}{7}+225
Divide C-15.75 by -0.07 by multiplying C-15.75 by the reciprocal of -0.07.