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Simplifying (x + 6)(x + -1) = (x + 5)(x + -2) Reorder the terms: (6 + x)(x + -1) = (x + 5)(x + -2) Reorder the terms: (6 + x)(-1 + x) = (x + 5)(x + -2) Multiply (6 + x) * (-1 + x) (6(-1 + x) + x(-1 + x)) = (x + 5)(x + -2) ((-1 * 6 + x * 6) + x(-1 + x)) = (x + 5)(x + -2) ((-6 + 6x) + x(-1 + x)) = (x + 5)(x + -2) (-6 + 6x + (-1 * x + x * x)) = (x + 5)(x + -2) (-6 + 6x + (-1x + x2)) = (x + 5)(x + -2) Combine like terms: 6x + -1x = 5x (-6 + 5x + x2) = (x + 5)(x + -2) Reorder the terms: -6 + 5x + x2 = (5 + x)(x + -2) Reorder the terms: -6 + 5x + x2 = (5 + x)(-2 + x) Multiply (5 + x) * (-2 + x) -6 + 5x + x2 = (5(-2 + x) + x(-2 + x)) -6 + 5x + x2 = ((-2 * 5 + x * 5) + x(-2 + x)) -6 + 5x + x2 = ((-10 + 5x) + x(-2 + x)) -6 + 5x + x2 = (-10 + 5x + (-2 * x + x * x)) -6 + 5x + x2 = (-10 + 5x + (-2x + x2)) Combine like terms: 5x + -2x = 3x -6 + 5x + x2 = (-10 + 3x + x2) Add '-1x2' to each side of the equation. -6 + 5x + x2 + -1x2 = -10 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 5x + 0 = -10 + 3x + x2 + -1x2 -6 + 5x = -10 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 5x = -10 + 3x + 0 -6 + 5x = -10 + 3x Solving -6 + 5x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 5x + -3x = -10 + 3x + -3x Combine like terms: 5x + -3x = 2x -6 + 2x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 2x = -10 + 0 -6 + 2x = -10 Add '6' to each side of the equation. -6 + 6 + 2x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -10 + 6 2x = -10 + 6 Combine like terms: -10 + 6 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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