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Simplifying x(2x + -4) + x(2x + -2) = (4x + 6)(x + -4) Reorder the terms: x(-4 + 2x) + x(2x + -2) = (4x + 6)(x + -4) (-4 * x + 2x * x) + x(2x + -2) = (4x + 6)(x + -4) (-4x + 2x2) + x(2x + -2) = (4x + 6)(x + -4) Reorder the terms: -4x + 2x2 + x(-2 + 2x) = (4x + 6)(x + -4) -4x + 2x2 + (-2 * x + 2x * x) = (4x + 6)(x + -4) -4x + 2x2 + (-2x + 2x2) = (4x + 6)(x + -4) Reorder the terms: -4x + -2x + 2x2 + 2x2 = (4x + 6)(x + -4) Combine like terms: -4x + -2x = -6x -6x + 2x2 + 2x2 = (4x + 6)(x + -4) Combine like terms: 2x2 + 2x2 = 4x2 -6x + 4x2 = (4x + 6)(x + -4) Reorder the terms: -6x + 4x2 = (6 + 4x)(x + -4) Reorder the terms: -6x + 4x2 = (6 + 4x)(-4 + x) Multiply (6 + 4x) * (-4 + x) -6x + 4x2 = (6(-4 + x) + 4x * (-4 + x)) -6x + 4x2 = ((-4 * 6 + x * 6) + 4x * (-4 + x)) -6x + 4x2 = ((-24 + 6x) + 4x * (-4 + x)) -6x + 4x2 = (-24 + 6x + (-4 * 4x + x * 4x)) -6x + 4x2 = (-24 + 6x + (-16x + 4x2)) Combine like terms: 6x + -16x = -10x -6x + 4x2 = (-24 + -10x + 4x2) Add '-4x2' to each side of the equation. -6x + 4x2 + -4x2 = -24 + -10x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x + 0 = -24 + -10x + 4x2 + -4x2 -6x = -24 + -10x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x = -24 + -10x + 0 -6x = -24 + -10x Solving -6x = -24 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -6x + 10x = -24 + -10x + 10x Combine like terms: -6x + 10x = 4x 4x = -24 + -10x + 10x Combine like terms: -10x + 10x = 0 4x = -24 + 0 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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