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Simplifying (x + 1)(x + 5) = x2 + 4x + -2 Reorder the terms: (1 + x)(x + 5) = x2 + 4x + -2 Reorder the terms: (1 + x)(5 + x) = x2 + 4x + -2 Multiply (1 + x) * (5 + x) (1(5 + x) + x(5 + x)) = x2 + 4x + -2 ((5 * 1 + x * 1) + x(5 + x)) = x2 + 4x + -2 ((5 + 1x) + x(5 + x)) = x2 + 4x + -2 (5 + 1x + (5 * x + x * x)) = x2 + 4x + -2 (5 + 1x + (5x + x2)) = x2 + 4x + -2 Combine like terms: 1x + 5x = 6x (5 + 6x + x2) = x2 + 4x + -2 Reorder the terms: 5 + 6x + x2 = -2 + 4x + x2 Add '-1x2' to each side of the equation. 5 + 6x + x2 + -1x2 = -2 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + 6x + 0 = -2 + 4x + x2 + -1x2 5 + 6x = -2 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + 6x = -2 + 4x + 0 5 + 6x = -2 + 4x Solving 5 + 6x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 6x + -4x = -2 + 4x + -4x Combine like terms: 6x + -4x = 2x 5 + 2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 2x = -2 + 0 5 + 2x = -2 Add '-5' to each side of the equation. 5 + -5 + 2x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -2 + -5 2x = -2 + -5 Combine like terms: -2 + -5 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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