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Simplifying (x + 2)(x + 2) + -1(x)(x) = 60 Reorder the terms: (2 + x)(x + 2) + -1(x)(x) = 60 Reorder the terms: (2 + x)(2 + x) + -1(x)(x) = 60 Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x)) + -1(x)(x) = 60 ((2 * 2 + x * 2) + x(2 + x)) + -1(x)(x) = 60 ((4 + 2x) + x(2 + x)) + -1(x)(x) = 60 (4 + 2x + (2 * x + x * x)) + -1(x)(x) = 60 (4 + 2x + (2x + x2)) + -1(x)(x) = 60 Combine like terms: 2x + 2x = 4x (4 + 4x + x2) + -1(x)(x) = 60 Multiply x * x 4 + 4x + x2 + -1x2 = 60 Combine like terms: x2 + -1x2 = 0 4 + 4x + 0 = 60 4 + 4x = 60 Solving 4 + 4x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4x = 60 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 60 + -4 4x = 60 + -4 Combine like terms: 60 + -4 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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