Final answer:
The equation 10x - 10 = -10x + 10 has infinitely many solutions.
Step-by-step explanation:
The equation that has infinitely many solutions is the equation 10x - 10 = -10x + 10. This equation can be simplified to 20x = 20, which means x = 1. Since the value of x is the same on both sides of the equation, there are infinitely many solutions.
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