7. 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 fraction that may not be represented as an integer. Since | x| must be an integer, 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.

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.

The statement is false. There is a solution.