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Simplifying (x + -8)(x + 1) = (x + 5)(x + -3) Reorder the terms: (-8 + x)(x + 1) = (x + 5)(x + -3) Reorder the terms: (-8 + x)(1 + x) = (x + 5)(x + -3) Multiply (-8 + x) * (1 + x) (-8(1 + x) + x(1 + x)) = (x + 5)(x + -3) ((1 * -8 + x * -8) + x(1 + x)) = (x + 5)(x + -3) ((-8 + -8x) + x(1 + x)) = (x + 5)(x + -3) (-8 + -8x + (1 * x + x * x)) = (x + 5)(x + -3) (-8 + -8x + (1x + x2)) = (x + 5)(x + -3) Combine like terms: -8x + 1x = -7x (-8 + -7x + x2) = (x + 5)(x + -3) Reorder the terms: -8 + -7x + x2 = (5 + x)(x + -3) Reorder the terms: -8 + -7x + x2 = (5 + x)(-3 + x) Multiply (5 + x) * (-3 + x) -8 + -7x + x2 = (5(-3 + x) + x(-3 + x)) -8 + -7x + x2 = ((-3 * 5 + x * 5) + x(-3 + x)) -8 + -7x + x2 = ((-15 + 5x) + x(-3 + x)) -8 + -7x + x2 = (-15 + 5x + (-3 * x + x * x)) -8 + -7x + x2 = (-15 + 5x + (-3x + x2)) Combine like terms: 5x + -3x = 2x -8 + -7x + x2 = (-15 + 2x + x2) Add '-1x2' to each side of the equation. -8 + -7x + x2 + -1x2 = -15 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + -7x + 0 = -15 + 2x + x2 + -1x2 -8 + -7x = -15 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + -7x = -15 + 2x + 0 -8 + -7x = -15 + 2x Solving -8 + -7x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -7x + -2x = -15 + 2x + -2x Combine like terms: -7x + -2x = -9x -8 + -9x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -9x = -15 + 0 -8 + -9x = -15 Add '8' to each side of the equation. -8 + 8 + -9x = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = -15 + 8 -9x = -15 + 8 Combine like terms: -15 + 8 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778
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