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1+x\times 7=11x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
1+x\times 7-11x=0
Subtract 11x from both sides.
1-4x=0
Combine x\times 7 and -11x to get -4x.
-4x=-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.