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Simplifying x(2x + -4) + x(2x + -2) = (4x + 8)(x + -3) Reorder the terms: x(-4 + 2x) + x(2x + -2) = (4x + 8)(x + -3) (-4 * x + 2x * x) + x(2x + -2) = (4x + 8)(x + -3) (-4x + 2x2) + x(2x + -2) = (4x + 8)(x + -3) Reorder the terms: -4x + 2x2 + x(-2 + 2x) = (4x + 8)(x + -3) -4x + 2x2 + (-2 * x + 2x * x) = (4x + 8)(x + -3) -4x + 2x2 + (-2x + 2x2) = (4x + 8)(x + -3) Reorder the terms: -4x + -2x + 2x2 + 2x2 = (4x + 8)(x + -3) Combine like terms: -4x + -2x = -6x -6x + 2x2 + 2x2 = (4x + 8)(x + -3) Combine like terms: 2x2 + 2x2 = 4x2 -6x + 4x2 = (4x + 8)(x + -3) Reorder the terms: -6x + 4x2 = (8 + 4x)(x + -3) Reorder the terms: -6x + 4x2 = (8 + 4x)(-3 + x) Multiply (8 + 4x) * (-3 + x) -6x + 4x2 = (8(-3 + x) + 4x * (-3 + x)) -6x + 4x2 = ((-3 * 8 + x * 8) + 4x * (-3 + x)) -6x + 4x2 = ((-24 + 8x) + 4x * (-3 + x)) -6x + 4x2 = (-24 + 8x + (-3 * 4x + x * 4x)) -6x + 4x2 = (-24 + 8x + (-12x + 4x2)) Combine like terms: 8x + -12x = -4x -6x + 4x2 = (-24 + -4x + 4x2) Add '-4x2' to each side of the equation. -6x + 4x2 + -4x2 = -24 + -4x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x + 0 = -24 + -4x + 4x2 + -4x2 -6x = -24 + -4x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x = -24 + -4x + 0 -6x = -24 + -4x Solving -6x = -24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6x + 4x = -24 + -4x + 4x Combine like terms: -6x + 4x = -2x -2x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 -2x = -24 + 0 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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