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x+1=18x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x.
x+1-18x=0
Subtract 18x from both sides.
-17x+1=0
Combine x and -18x to get -17x.
-17x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{-17}
Divide both sides by -17.
x=\frac{1}{17}
Fraction \frac{-1}{-17} can be simplified to \frac{1}{17} by removing the negative sign from both the numerator and the denominator.