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Simplifying (x + 5)(x + 1) = (x + -1)(x + 6) Reorder the terms: (5 + x)(x + 1) = (x + -1)(x + 6) Reorder the terms: (5 + x)(1 + x) = (x + -1)(x + 6) Multiply (5 + x) * (1 + x) (5(1 + x) + x(1 + x)) = (x + -1)(x + 6) ((1 * 5 + x * 5) + x(1 + x)) = (x + -1)(x + 6) ((5 + 5x) + x(1 + x)) = (x + -1)(x + 6) (5 + 5x + (1 * x + x * x)) = (x + -1)(x + 6) (5 + 5x + (1x + x2)) = (x + -1)(x + 6) Combine like terms: 5x + 1x = 6x (5 + 6x + x2) = (x + -1)(x + 6) Reorder the terms: 5 + 6x + x2 = (-1 + x)(x + 6) Reorder the terms: 5 + 6x + x2 = (-1 + x)(6 + x) Multiply (-1 + x) * (6 + x) 5 + 6x + x2 = (-1(6 + x) + x(6 + x)) 5 + 6x + x2 = ((6 * -1 + x * -1) + x(6 + x)) 5 + 6x + x2 = ((-6 + -1x) + x(6 + x)) 5 + 6x + x2 = (-6 + -1x + (6 * x + x * x)) 5 + 6x + x2 = (-6 + -1x + (6x + x2)) Combine like terms: -1x + 6x = 5x 5 + 6x + x2 = (-6 + 5x + x2) Add '-1x2' to each side of the equation. 5 + 6x + x2 + -1x2 = -6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + 6x + 0 = -6 + 5x + x2 + -1x2 5 + 6x = -6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + 6x = -6 + 5x + 0 5 + 6x = -6 + 5x Solving 5 + 6x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 6x + -5x = -6 + 5x + -5x Combine like terms: 6x + -5x = 1x 5 + 1x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 1x = -6 + 0 5 + 1x = -6 Add '-5' to each side of the equation. 5 + -5 + 1x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -6 + -5 1x = -6 + -5 Combine like terms: -6 + -5 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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