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