Final answer:
The equation 0.5X + 6 = 0.25(2X-24) has no solutions.
Step-by-step explanation:
To find the number of solutions to the equation 0.5X + 6 = 0.25(2X-24), we can start by simplifying the equation:
0.5X + 6 = 0.5X - 6
6 = -6
Here, we can see that the equation is inconsistent since the equation simplifies to a contradiction. Therefore, there are no solutions to this equation.
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