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Simplifying (x + 7)(x + 2) + -1x(x + 5) = 66 Reorder the terms: (7 + x)(x + 2) + -1x(x + 5) = 66 Reorder the terms: (7 + x)(2 + x) + -1x(x + 5) = 66 Multiply (7 + x) * (2 + x) (7(2 + x) + x(2 + x)) + -1x(x + 5) = 66 ((2 * 7 + x * 7) + x(2 + x)) + -1x(x + 5) = 66 ((14 + 7x) + x(2 + x)) + -1x(x + 5) = 66 (14 + 7x + (2 * x + x * x)) + -1x(x + 5) = 66 (14 + 7x + (2x + x2)) + -1x(x + 5) = 66 Combine like terms: 7x + 2x = 9x (14 + 9x + x2) + -1x(x + 5) = 66 Reorder the terms: 14 + 9x + x2 + -1x(5 + x) = 66 14 + 9x + x2 + (5 * -1x + x * -1x) = 66 14 + 9x + x2 + (-5x + -1x2) = 66 Reorder the terms: 14 + 9x + -5x + x2 + -1x2 = 66 Combine like terms: 9x + -5x = 4x 14 + 4x + x2 + -1x2 = 66 Combine like terms: x2 + -1x2 = 0 14 + 4x + 0 = 66 14 + 4x = 66 Solving 14 + 4x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4x = 66 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 66 + -14 4x = 66 + -14 Combine like terms: 66 + -14 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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