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Which of the following explains why 23(x+3)=23(x−6) has no solution?

User Tavalendo
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Answer:

Explanation:

We can expand and simplify the equation as follows:

23(x+3) = 23(x-6)

23x + 69 = 23x - 138

69 = -138

The last equation is clearly false, which means there is no value of x that can satisfy the original equation.

This is an example of a contradiction, where the equation leads to an impossible statement. Therefore, the equation has no solution.

User Eunbi
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