Weird Die

EasyProbability

A $6-$ sided die shows the values $1-6$ with respective probabilities $1/6, 1/5 - x, 1/10 + 2x, 1/5-x, 1/6,$ and $1/6$ . Find the value of $x$ that maximizes the probability of obtaining a sum of $7$ when you roll this die twice.

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