GRE Math Numeric Entry Question 120

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An interior designer decides to accent a wall with an evenly spaced row of stenciled circles. The wall is 31′6″ long and the stencil has an area of 36π square inches. If the designer wants to leave a space of x inches between each circle and at either end of the row, and x is an integer, then what is the greatest possible number of circles that the designer can use?

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