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Explain why the equation 6|x| + 25 = 15 has no solution. When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution. When one solves, they arrive at a step where x is equal to a negative number. Since x can never be negative inside of the absolute value bars, there is no solution. The statement is false. There is a solution. When one solves, they arrive at a step where |x| is equal to a fraction that may not be represented as an integer. Since | x| must be an integer, there is no solution.

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Answer:

Step-by-step explanation:

6|x| + 25 = 15

6|x| = 15 - 25

6|x| = -10

|x| = - [tex]\frac{10}{6}[/tex]

By definition, the absolute value of any number must be positive, hence  | x| can never be negative, there is no solution.

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