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The sum of a number ,1/6 of that number ,2 1/2 of that number, and 7 is 2 1/2 find the number

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Let x be the number. If I understand the wording of the problem correctly, then the equation is this:  x + (1/6)x + (5/2)x + 7 = 5/2 .

x = - 27/22  or - 1 5/22 if a mixed number is desired.

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