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Simplifying (x + 2)(x + -5) = (x + -8)(x + 3) Reorder the terms: (2 + x)(x + -5) = (x + -8)(x + 3) Reorder the terms: (2 + x)(-5 + x) = (x + -8)(x + 3) Multiply (2 + x) * (-5 + x) (2(-5 + x) + x(-5 + x)) = (x + -8)(x + 3) ((-5 * 2 + x * 2) + x(-5 + x)) = (x + -8)(x + 3) ((-10 + 2x) + x(-5 + x)) = (x + -8)(x + 3) (-10 + 2x + (-5 * x + x * x)) = (x + -8)(x + 3) (-10 + 2x + (-5x + x2)) = (x + -8)(x + 3) Combine like terms: 2x + -5x = -3x (-10 + -3x + x2) = (x + -8)(x + 3) Reorder the terms: -10 + -3x + x2 = (-8 + x)(x + 3) Reorder the terms: -10 + -3x + x2 = (-8 + x)(3 + x) Multiply (-8 + x) * (3 + x) -10 + -3x + x2 = (-8(3 + x) + x(3 + x)) -10 + -3x + x2 = ((3 * -8 + x * -8) + x(3 + x)) -10 + -3x + x2 = ((-24 + -8x) + x(3 + x)) -10 + -3x + x2 = (-24 + -8x + (3 * x + x * x)) -10 + -3x + x2 = (-24 + -8x + (3x + x2)) Combine like terms: -8x + 3x = -5x -10 + -3x + x2 = (-24 + -5x + x2) Add '-1x2' to each side of the equation. -10 + -3x + x2 + -1x2 = -24 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x + 0 = -24 + -5x + x2 + -1x2 -10 + -3x = -24 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x = -24 + -5x + 0 -10 + -3x = -24 + -5x Solving -10 + -3x = -24 + -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. -10 + -3x + 5x = -24 + -5x + 5x Combine like terms: -3x + 5x = 2x -10 + 2x = -24 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 2x = -24 + 0 -10 + 2x = -24 Add '10' to each side of the equation. -10 + 10 + 2x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -24 + 10 2x = -24 + 10 Combine like terms: -24 + 10 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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