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Correct! 2(2+2) is a single term - subject to The Distributive Law - and 2x(2+2) is 2 terms. Those who added a multiply sign there have effectively flipped the (2+2) from being in the denominator to being in the numerator, hence the wrong answer.

But it's not called "implicit multiplication" - it's Terms and/or The Distributive Law which applies (and they're 2 separate rules, so you cannot lump them together as a single rule).