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Answer:

[tex]area = 0.5 \times height \times width \\ = 0.5 \times (x + 2) \times (x +2 - 7) = 4 \\ 4 \div 0.5 = (x + 2)(x - 5) = 8 \\ {x}^{2} - 3x - 10 = 8 \\ {x}^{2} - 3x - 18 = 0 \\ (x - 6)(x + 3) = 0 \\ x = - 3 \\ x = 6[/tex]

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