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Let A be the area of the house.
Given that the area of the front yard is 4,200ft^2, the area of the house plus the area of the yard is A + 4,200ft^2.
According to the problem, the area of the house plus the area of the yard is 8 times the area of the house alone: A + 4,200ft^2 = 8A.
Thus, the equation that models this real-world situation is A + 4,200ft^2 = 8A.