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AMC 10A 2020 (Problem 5)

What is the sum of all real numbers xx for which ∣x2−12x+34∣=2|x^2-12x+34|=2?
(A)  12\text{(A)}\;12(B)  15\text{(B)}\;15(C)  18\text{(C)}\;18(D)  21\text{(D)}\;21(E)  25\text{(E)}\;25