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Simplifying (x + -4)(x + -8) = (x + -2)(x + -6) Reorder the terms: (-4 + x)(x + -8) = (x + -2)(x + -6) Reorder the terms: (-4 + x)(-8 + x) = (x + -2)(x + -6) Multiply (-4 + x) * (-8 + x) (-4(-8 + x) + x(-8 + x)) = (x + -2)(x + -6) ((-8 * -4 + x * -4) + x(-8 + x)) = (x + -2)(x + -6) ((32 + -4x) + x(-8 + x)) = (x + -2)(x + -6) (32 + -4x + (-8 * x + x * x)) = (x + -2)(x + -6) (32 + -4x + (-8x + x2)) = (x + -2)(x + -6) Combine like terms: -4x + -8x = -12x (32 + -12x + x2) = (x + -2)(x + -6) Reorder the terms: 32 + -12x + x2 = (-2 + x)(x + -6) Reorder the terms: 32 + -12x + x2 = (-2 + x)(-6 + x) Multiply (-2 + x) * (-6 + x) 32 + -12x + x2 = (-2(-6 + x) + x(-6 + x)) 32 + -12x + x2 = ((-6 * -2 + x * -2) + x(-6 + x)) 32 + -12x + x2 = ((12 + -2x) + x(-6 + x)) 32 + -12x + x2 = (12 + -2x + (-6 * x + x * x)) 32 + -12x + x2 = (12 + -2x + (-6x + x2)) Combine like terms: -2x + -6x = -8x 32 + -12x + x2 = (12 + -8x + x2) Add '-1x2' to each side of the equation. 32 + -12x + x2 + -1x2 = 12 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 32 + -12x + 0 = 12 + -8x + x2 + -1x2 32 + -12x = 12 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 32 + -12x = 12 + -8x + 0 32 + -12x = 12 + -8x Solving 32 + -12x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 32 + -12x + 8x = 12 + -8x + 8x Combine like terms: -12x + 8x = -4x 32 + -4x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + -4x = 12 + 0 32 + -4x = 12 Add '-32' to each side of the equation. 32 + -32 + -4x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 12 + -32 -4x = 12 + -32 Combine like terms: 12 + -32 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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