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67\times 100-67x\times 10+x=0
Calculate 10 to the power of 2 and get 100.
6700-67x\times 10+x=0
Multiply 67 and 100 to get 6700.
6700-670x+x=0
Multiply 67 and 10 to get 670.
6700-669x=0
Combine -670x and x to get -669x.
-669x=-6700
Subtract 6700 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6700}{-669}
Divide both sides by -669.
x=\frac{6700}{669}
Fraction \frac{-6700}{-669} can be simplified to \frac{6700}{669} by removing the negative sign from both the numerator and the denominator.