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1+x\left(-4\right)=0
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x\left(-4\right)=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{-4}
Divide both sides by -4.
x=\frac{1}{4}
Fraction \frac{-1}{-4} can be simplified to \frac{1}{4} by removing the negative sign from both the numerator and the denominator.