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Simplifying (x + -4)(x + -1) = (x + -7)(x + 5) Reorder the terms: (-4 + x)(x + -1) = (x + -7)(x + 5) Reorder the terms: (-4 + x)(-1 + x) = (x + -7)(x + 5) Multiply (-4 + x) * (-1 + x) (-4(-1 + x) + x(-1 + x)) = (x + -7)(x + 5) ((-1 * -4 + x * -4) + x(-1 + x)) = (x + -7)(x + 5) ((4 + -4x) + x(-1 + x)) = (x + -7)(x + 5) (4 + -4x + (-1 * x + x * x)) = (x + -7)(x + 5) (4 + -4x + (-1x + x2)) = (x + -7)(x + 5) Combine like terms: -4x + -1x = -5x (4 + -5x + x2) = (x + -7)(x + 5) Reorder the terms: 4 + -5x + x2 = (-7 + x)(x + 5) Reorder the terms: 4 + -5x + x2 = (-7 + x)(5 + x) Multiply (-7 + x) * (5 + x) 4 + -5x + x2 = (-7(5 + x) + x(5 + x)) 4 + -5x + x2 = ((5 * -7 + x * -7) + x(5 + x)) 4 + -5x + x2 = ((-35 + -7x) + x(5 + x)) 4 + -5x + x2 = (-35 + -7x + (5 * x + x * x)) 4 + -5x + x2 = (-35 + -7x + (5x + x2)) Combine like terms: -7x + 5x = -2x 4 + -5x + x2 = (-35 + -2x + x2) Add '-1x2' to each side of the equation. 4 + -5x + x2 + -1x2 = -35 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + -5x + 0 = -35 + -2x + x2 + -1x2 4 + -5x = -35 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + -5x = -35 + -2x + 0 4 + -5x = -35 + -2x Solving 4 + -5x = -35 + -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. 4 + -5x + 2x = -35 + -2x + 2x Combine like terms: -5x + 2x = -3x 4 + -3x = -35 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -3x = -35 + 0 4 + -3x = -35 Add '-4' to each side of the equation. 4 + -4 + -3x = -35 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -35 + -4 -3x = -35 + -4 Combine like terms: -35 + -4 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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