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Simplifying x(2x + -4) + x(4x + -2) = (6x + 6)(x + -4) Reorder the terms: x(-4 + 2x) + x(4x + -2) = (6x + 6)(x + -4) (-4 * x + 2x * x) + x(4x + -2) = (6x + 6)(x + -4) (-4x + 2x2) + x(4x + -2) = (6x + 6)(x + -4) Reorder the terms: -4x + 2x2 + x(-2 + 4x) = (6x + 6)(x + -4) -4x + 2x2 + (-2 * x + 4x * x) = (6x + 6)(x + -4) -4x + 2x2 + (-2x + 4x2) = (6x + 6)(x + -4) Reorder the terms: -4x + -2x + 2x2 + 4x2 = (6x + 6)(x + -4) Combine like terms: -4x + -2x = -6x -6x + 2x2 + 4x2 = (6x + 6)(x + -4) Combine like terms: 2x2 + 4x2 = 6x2 -6x + 6x2 = (6x + 6)(x + -4) Reorder the terms: -6x + 6x2 = (6 + 6x)(x + -4) Reorder the terms: -6x + 6x2 = (6 + 6x)(-4 + x) Multiply (6 + 6x) * (-4 + x) -6x + 6x2 = (6(-4 + x) + 6x * (-4 + x)) -6x + 6x2 = ((-4 * 6 + x * 6) + 6x * (-4 + x)) -6x + 6x2 = ((-24 + 6x) + 6x * (-4 + x)) -6x + 6x2 = (-24 + 6x + (-4 * 6x + x * 6x)) -6x + 6x2 = (-24 + 6x + (-24x + 6x2)) Combine like terms: 6x + -24x = -18x -6x + 6x2 = (-24 + -18x + 6x2) Add '-6x2' to each side of the equation. -6x + 6x2 + -6x2 = -24 + -18x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x + 0 = -24 + -18x + 6x2 + -6x2 -6x = -24 + -18x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x = -24 + -18x + 0 -6x = -24 + -18x Solving -6x = -24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -6x + 18x = -24 + -18x + 18x Combine like terms: -6x + 18x = 12x 12x = -24 + -18x + 18x Combine like terms: -18x + 18x = 0 12x = -24 + 0 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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