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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 = 2x (-8 + 2x + x2) = x2 + -2x + 12 Reorder the terms: -8 + 2x + x2 = 12 + -2x + x2 Add '-1x2' to each side of the equation. -8 + 2x + x2 + -1x2 = 12 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + 2x + 0 = 12 + -2x + x2 + -1x2 -8 + 2x = 12 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + 2x = 12 + -2x + 0 -8 + 2x = 12 + -2x Solving -8 + 2x = 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 + 2x + 2x = 12 + -2x + 2x Combine like terms: 2x + 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 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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