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Algebra Difficulty 3.6 AMC 10/12 Find the answer Slovenia

What is the sum of all the real numbers that solve the equation x2011+x2012=3|x - 2011| + |x - 2012| = 3?

Pick one

Solution

There are only two such real numbers: 20102010 and 20132013. Their sum is equal to 40234023.

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