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\frac{4}{-2}=\frac{1}{x}
Divide both sides by -2.
-2=\frac{1}{x}
Divide 4 by -2 to get -2.
-2x=1
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x=\frac{1}{-2}
Divide both sides by -2.
x=-\frac{1}{2}
Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.