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Simplifying (x + -2)(x + -4) = x2 + -2x + 12 Reorder the terms: (-2 + x)(x + -4) = x2 + -2x + 12 Reorder the terms: (-2 + x)(-4 + x) = x2 + -2x + 12 Multiply (-2 + x) * (-4 + x) (-2(-4 + x) + x(-4 + x)) = x2 + -2x + 12 ((-4 * -2 + x * -2) + x(-4 + x)) = x2 + -2x + 12 ((8 + -2x) + x(-4 + x)) = x2 + -2x + 12 (8 + -2x + (-4 * x + x * x)) = x2 + -2x + 12 (8 + -2x + (-4x + x2)) = x2 + -2x + 12 Combine like terms: -2x + -4x = -6x (8 + -6x + x2) = x2 + -2x + 12 Reorder the terms: 8 + -6x + x2 = 12 + -2x + x2 Add '-1x2' to each side of the equation. 8 + -6x + x2 + -1x2 = 12 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + -6x + 0 = 12 + -2x + x2 + -1x2 8 + -6x = 12 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + -6x = 12 + -2x + 0 8 + -6x = 12 + -2x Solving 8 + -6x = 12 + -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 + -6x + 2x = 12 + -2x + 2x Combine like terms: -6x + 2x = -4x 8 + -4x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -4x = 12 + 0 8 + -4x = 12 Add '-8' to each side of the equation. 8 + -8 + -4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 12 + -8 -4x = 12 + -8 Combine like terms: 12 + -8 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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