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Simplifying (x + 1)(x + 1) + -1x * x + -39 = 0 Reorder the terms: (1 + x)(x + 1) + -1x * x + -39 = 0 Reorder the terms: (1 + x)(1 + x) + -1x * x + -39 = 0 Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x)) + -1x * x + -39 = 0 ((1 * 1 + x * 1) + x(1 + x)) + -1x * x + -39 = 0 ((1 + 1x) + x(1 + x)) + -1x * x + -39 = 0 (1 + 1x + (1 * x + x * x)) + -1x * x + -39 = 0 (1 + 1x + (1x + x2)) + -1x * x + -39 = 0 Combine like terms: 1x + 1x = 2x (1 + 2x + x2) + -1x * x + -39 = 0 Multiply x * x 1 + 2x + x2 + -1x2 + -39 = 0 Reorder the terms: 1 + -39 + 2x + x2 + -1x2 = 0 Combine like terms: 1 + -39 = -38 -38 + 2x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 -38 + 2x + 0 = 0 -38 + 2x = 0 Solving -38 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 2x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = 0 + 38 2x = 0 + 38 Combine like terms: 0 + 38 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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