How many solutions exist for the given equation?0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

Combine the two identical terms on the right: 0.35(x + 20) + 0.35(x + 20) = 0.70(x + 20). Expanding gives 0.75x + 30 = 0.70x + 14, so 0.05x = -16 and x = -320. There is exactly one solution, so the correct choice is “one.”

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