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divide 12x-12 over x-1
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\[\frac{12x - 12}{x-1}\] factor out the numerator \[\implies \frac{12(x-1)}{x-1}\]
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Make a note that when you factor something out of a fraction, you have to also exclude any cases where that thing would have been equal to zero (it is in the denominator that it is a problem because division is not defined for zero). Therefore, you can factor out x-1, but x=1 can no longer be considered as a possible value for x.
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