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Simplifying (x + -1)(x + -5) = (x + 5)(x + -4) Reorder the terms: (-1 + x)(x + -5) = (x + 5)(x + -4) Reorder the terms: (-1 + x)(-5 + x) = (x + 5)(x + -4) Multiply (-1 + x) * (-5 + x) (-1(-5 + x) + x(-5 + x)) = (x + 5)(x + -4) ((-5 * -1 + x * -1) + x(-5 + x)) = (x + 5)(x + -4) ((5 + -1x) + x(-5 + x)) = (x + 5)(x + -4) (5 + -1x + (-5 * x + x * x)) = (x + 5)(x + -4) (5 + -1x + (-5x + x2)) = (x + 5)(x + -4) Combine like terms: -1x + -5x = -6x (5 + -6x + x2) = (x + 5)(x + -4) Reorder the terms: 5 + -6x + x2 = (5 + x)(x + -4) Reorder the terms: 5 + -6x + x2 = (5 + x)(-4 + x) Multiply (5 + x) * (-4 + x) 5 + -6x + x2 = (5(-4 + x) + x(-4 + x)) 5 + -6x + x2 = ((-4 * 5 + x * 5) + x(-4 + x)) 5 + -6x + x2 = ((-20 + 5x) + x(-4 + x)) 5 + -6x + x2 = (-20 + 5x + (-4 * x + x * x)) 5 + -6x + x2 = (-20 + 5x + (-4x + x2)) Combine like terms: 5x + -4x = 1x 5 + -6x + x2 = (-20 + 1x + x2) Add '-1x2' to each side of the equation. 5 + -6x + x2 + -1x2 = -20 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -6x + 0 = -20 + 1x + x2 + -1x2 5 + -6x = -20 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -6x = -20 + 1x + 0 5 + -6x = -20 + 1x Solving 5 + -6x = -20 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -6x + -1x = -20 + 1x + -1x Combine like terms: -6x + -1x = -7x 5 + -7x = -20 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + -7x = -20 + 0 5 + -7x = -20 Add '-5' to each side of the equation. 5 + -5 + -7x = -20 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = -20 + -5 -7x = -20 + -5 Combine like terms: -20 + -5 = -25 -7x = -25 Divide each side by '-7'. x = 3.571428571 Simplifying x = 3.571428571
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