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Simplifying x(6x + -2) = (6x + 8)(x + -2) Reorder the terms: x(-2 + 6x) = (6x + 8)(x + -2) (-2 * x + 6x * x) = (6x + 8)(x + -2) (-2x + 6x2) = (6x + 8)(x + -2) Reorder the terms: -2x + 6x2 = (8 + 6x)(x + -2) Reorder the terms: -2x + 6x2 = (8 + 6x)(-2 + x) Multiply (8 + 6x) * (-2 + x) -2x + 6x2 = (8(-2 + x) + 6x * (-2 + x)) -2x + 6x2 = ((-2 * 8 + x * 8) + 6x * (-2 + x)) -2x + 6x2 = ((-16 + 8x) + 6x * (-2 + x)) -2x + 6x2 = (-16 + 8x + (-2 * 6x + x * 6x)) -2x + 6x2 = (-16 + 8x + (-12x + 6x2)) Combine like terms: 8x + -12x = -4x -2x + 6x2 = (-16 + -4x + 6x2) Add '-6x2' to each side of the equation. -2x + 6x2 + -6x2 = -16 + -4x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2x + 0 = -16 + -4x + 6x2 + -6x2 -2x = -16 + -4x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2x = -16 + -4x + 0 -2x = -16 + -4x Solving -2x = -16 + -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. -2x + 4x = -16 + -4x + 4x Combine like terms: -2x + 4x = 2x 2x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 2x = -16 + 0 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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