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Simplifying (x + -4)(x + -1) = (x + 4)(x + 3) Reorder the terms: (-4 + x)(x + -1) = (x + 4)(x + 3) Reorder the terms: (-4 + x)(-1 + x) = (x + 4)(x + 3) Multiply (-4 + x) * (-1 + x) (-4(-1 + x) + x(-1 + x)) = (x + 4)(x + 3) ((-1 * -4 + x * -4) + x(-1 + x)) = (x + 4)(x + 3) ((4 + -4x) + x(-1 + x)) = (x + 4)(x + 3) (4 + -4x + (-1 * x + x * x)) = (x + 4)(x + 3) (4 + -4x + (-1x + x2)) = (x + 4)(x + 3) Combine like terms: -4x + -1x = -5x (4 + -5x + x2) = (x + 4)(x + 3) Reorder the terms: 4 + -5x + x2 = (4 + x)(x + 3) Reorder the terms: 4 + -5x + x2 = (4 + x)(3 + x) Multiply (4 + x) * (3 + x) 4 + -5x + x2 = (4(3 + x) + x(3 + x)) 4 + -5x + x2 = ((3 * 4 + x * 4) + x(3 + x)) 4 + -5x + x2 = ((12 + 4x) + x(3 + x)) 4 + -5x + x2 = (12 + 4x + (3 * x + x * x)) 4 + -5x + x2 = (12 + 4x + (3x + x2)) Combine like terms: 4x + 3x = 7x 4 + -5x + x2 = (12 + 7x + x2) Add '-1x2' to each side of the equation. 4 + -5x + x2 + -1x2 = 12 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + -5x + 0 = 12 + 7x + x2 + -1x2 4 + -5x = 12 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + -5x = 12 + 7x + 0 4 + -5x = 12 + 7x Solving 4 + -5x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + -5x + -7x = 12 + 7x + -7x Combine like terms: -5x + -7x = -12x 4 + -12x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -12x = 12 + 0 4 + -12x = 12 Add '-4' to each side of the equation. 4 + -4 + -12x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 12 + -4 -12x = 12 + -4 Combine like terms: 12 + -4 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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