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The number of video games in Anson's collection is 5 times the number in Mark's collection, so it can be represented as 5x.
The total number of video games is no more than 72, so we can write the inequality: x + 5x ≤ 72.
Simplifying the equation, we get 6x ≤ 72.
Dividing both sides of the inequality by 6, we have x ≤ 12.
Therefore, the solution set for x, the number of video games in Mark's collection, is B) x ≤ 12.