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12+x\left(-10\right)=-22x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
12+x\left(-10\right)+22x=0
Add 22x to both sides.
12+12x=0
Combine x\left(-10\right) and 22x to get 12x.
12x=-12
Subtract 12 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-12}{12}
Divide both sides by 12.
x=-1
Divide -12 by 12 to get -1.