Solve for x
x=\frac{200}{201}\approx 0.995024876
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200\left(-x+1\right)=x
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by -x+1.
-200x+200=x
Use the distributive property to multiply 200 by -x+1.
-200x+200-x=0
Subtract x from both sides.
-201x+200=0
Combine -200x and -x to get -201x.
-201x=-200
Subtract 200 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-200}{-201}
Divide both sides by -201.
x=\frac{200}{201}
Fraction \frac{-200}{-201} can be simplified to \frac{200}{201} by removing the negative sign from both the numerator and the denominator.
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