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Reason for two tides on Earth

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There was a thing that kept me wondering for several years, which no science teacher managed to explain. Why does gravitational pull of the Moon causes two tides on Earth at the same time? Would'nt it be more logical for the tide to only occur directly under the moon, nowhere else, because gravity of the Moon is the strongest at that point? Why does the tide also occur where it's the furthest on Earth from the Moon?

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