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7+x\times 9=42x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of 6x,6.
7+x\times 9-42x=0
Subtract 42x from both sides.
7-33x=0
Combine x\times 9 and -42x to get -33x.
-33x=-7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-7}{-33}
Divide both sides by -33.
x=\frac{7}{33}
Fraction \frac{-7}{-33} can be simplified to \frac{7}{33} by removing the negative sign from both the numerator and the denominator.