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Do -5x+12=-5x-12 have exactly one solutions

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Final answer:

The equation -5x+12=-5x-12 does not have exactly one solution.

Step-by-step explanation:

To determine if the equation -5x+12=-5x-12 has exactly one solution, we can simplify it:

-5x + 12 = -5x - 12

Adding 5x to both sides gives: 12 = -12

Since the equation is contradictory (12 cannot equal -12), there is no solution for x. So, the equation does not have exactly one solution.

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