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1+x-2\pi x=0
Subtract 2\pi x from both sides.
x-2\pi x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
\left(1-2\pi \right)x=-1
Combine all terms containing x.
\frac{\left(1-2\pi \right)x}{1-2\pi }=-\frac{1}{1-2\pi }
Divide both sides by 1-2\pi .
x=-\frac{1}{1-2\pi }
Dividing by 1-2\pi undoes the multiplication by 1-2\pi .