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Simplifying x(2x + -4) = (2x + 1)(x + -2) Reorder the terms: x(-4 + 2x) = (2x + 1)(x + -2) (-4 * x + 2x * x) = (2x + 1)(x + -2) (-4x + 2x2) = (2x + 1)(x + -2) Reorder the terms: -4x + 2x2 = (1 + 2x)(x + -2) Reorder the terms: -4x + 2x2 = (1 + 2x)(-2 + x) Multiply (1 + 2x) * (-2 + x) -4x + 2x2 = (1(-2 + x) + 2x * (-2 + x)) -4x + 2x2 = ((-2 * 1 + x * 1) + 2x * (-2 + x)) -4x + 2x2 = ((-2 + 1x) + 2x * (-2 + x)) -4x + 2x2 = (-2 + 1x + (-2 * 2x + x * 2x)) -4x + 2x2 = (-2 + 1x + (-4x + 2x2)) Combine like terms: 1x + -4x = -3x -4x + 2x2 = (-2 + -3x + 2x2) Add '-2x2' to each side of the equation. -4x + 2x2 + -2x2 = -2 + -3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4x + 0 = -2 + -3x + 2x2 + -2x2 -4x = -2 + -3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4x = -2 + -3x + 0 -4x = -2 + -3x Solving -4x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4x + 3x = -2 + -3x + 3x Combine like terms: -4x + 3x = -1x -1x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -1x = -2 + 0 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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