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Simplifying x(3x + -6) = (3x + 8)(x + -2) Reorder the terms: x(-6 + 3x) = (3x + 8)(x + -2) (-6 * x + 3x * x) = (3x + 8)(x + -2) (-6x + 3x2) = (3x + 8)(x + -2) Reorder the terms: -6x + 3x2 = (8 + 3x)(x + -2) Reorder the terms: -6x + 3x2 = (8 + 3x)(-2 + x) Multiply (8 + 3x) * (-2 + x) -6x + 3x2 = (8(-2 + x) + 3x * (-2 + x)) -6x + 3x2 = ((-2 * 8 + x * 8) + 3x * (-2 + x)) -6x + 3x2 = ((-16 + 8x) + 3x * (-2 + x)) -6x + 3x2 = (-16 + 8x + (-2 * 3x + x * 3x)) -6x + 3x2 = (-16 + 8x + (-6x + 3x2)) Combine like terms: 8x + -6x = 2x -6x + 3x2 = (-16 + 2x + 3x2) Add '-3x2' to each side of the equation. -6x + 3x2 + -3x2 = -16 + 2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6x + 0 = -16 + 2x + 3x2 + -3x2 -6x = -16 + 2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6x = -16 + 2x + 0 -6x = -16 + 2x Solving -6x = -16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6x + -2x = -16 + 2x + -2x Combine like terms: -6x + -2x = -8x -8x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -8x = -16 + 0 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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