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