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Simplifying x(2x + -2) + x(4x + -2) = (6x + 8)(x + -6) Reorder the terms: x(-2 + 2x) + x(4x + -2) = (6x + 8)(x + -6) (-2 * x + 2x * x) + x(4x + -2) = (6x + 8)(x + -6) (-2x + 2x2) + x(4x + -2) = (6x + 8)(x + -6) Reorder the terms: -2x + 2x2 + x(-2 + 4x) = (6x + 8)(x + -6) -2x + 2x2 + (-2 * x + 4x * x) = (6x + 8)(x + -6) -2x + 2x2 + (-2x + 4x2) = (6x + 8)(x + -6) Reorder the terms: -2x + -2x + 2x2 + 4x2 = (6x + 8)(x + -6) Combine like terms: -2x + -2x = -4x -4x + 2x2 + 4x2 = (6x + 8)(x + -6) Combine like terms: 2x2 + 4x2 = 6x2 -4x + 6x2 = (6x + 8)(x + -6) Reorder the terms: -4x + 6x2 = (8 + 6x)(x + -6) Reorder the terms: -4x + 6x2 = (8 + 6x)(-6 + x) Multiply (8 + 6x) * (-6 + x) -4x + 6x2 = (8(-6 + x) + 6x * (-6 + x)) -4x + 6x2 = ((-6 * 8 + x * 8) + 6x * (-6 + x)) -4x + 6x2 = ((-48 + 8x) + 6x * (-6 + x)) -4x + 6x2 = (-48 + 8x + (-6 * 6x + x * 6x)) -4x + 6x2 = (-48 + 8x + (-36x + 6x2)) Combine like terms: 8x + -36x = -28x -4x + 6x2 = (-48 + -28x + 6x2) Add '-6x2' to each side of the equation. -4x + 6x2 + -6x2 = -48 + -28x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4x + 0 = -48 + -28x + 6x2 + -6x2 -4x = -48 + -28x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4x = -48 + -28x + 0 -4x = -48 + -28x Solving -4x = -48 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -4x + 28x = -48 + -28x + 28x Combine like terms: -4x + 28x = 24x 24x = -48 + -28x + 28x Combine like terms: -28x + 28x = 0 24x = -48 + 0 24x = -48 Divide each side by '24'. x = -2 Simplifying x = -2
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