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x+90=-90x
Variable x cannot be equal to -90 since division by zero is not defined. Multiply both sides of the equation by x+90.
x+90+90x=0
Add 90x to both sides.
91x+90=0
Combine x and 90x to get 91x.
91x=-90
Subtract 90 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-90}{91}
Divide both sides by 91.
x=-\frac{90}{91}
Fraction \frac{-90}{91} can be rewritten as -\frac{90}{91} by extracting the negative sign.