Final answer:
An equation with infinite solutions occurs when both sides of the equation are simplified and the coefficients are the same.
Step-by-step explanation:
An equation with infinite solutions occurs when both sides of the equation are simplified and the coefficients are the same. This means that no matter what value is substituted for the variable, the equation remains true because the terms on both sides of the equation cancel out and are equal. For example, in the equation 2x + 4 = 2(x + 2), when both sides are simplified, we get 2x + 4 = 2x + 4, which is always true regardless of the value of x. So, an equation with infinite solutions has the same coefficients on both sides of the equation.
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