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Logic Puzzle

Journal by DeathMonkey
Let's earn  a shoutout for Soylentnews here:  https://fivethirtyeight.com/features/can-you-drink-more-coffee-than-your-coworkers/

6   4   7
5   X   12
3   11  16
There is a very specific logic underlying the grid of numbers above, and X is somewhere between 1 and 14. What, specifically, is X?

Discuss answers in the comments and if we figure it out I'll submit it under the name SoylentNews.org.
 

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