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Simplifying (x + -1)(6x + 2) = (2x + 8)(3x + -6) Reorder the terms: (-1 + x)(6x + 2) = (2x + 8)(3x + -6) Reorder the terms: (-1 + x)(2 + 6x) = (2x + 8)(3x + -6) Multiply (-1 + x) * (2 + 6x) (-1(2 + 6x) + x(2 + 6x)) = (2x + 8)(3x + -6) ((2 * -1 + 6x * -1) + x(2 + 6x)) = (2x + 8)(3x + -6) ((-2 + -6x) + x(2 + 6x)) = (2x + 8)(3x + -6) (-2 + -6x + (2 * x + 6x * x)) = (2x + 8)(3x + -6) (-2 + -6x + (2x + 6x2)) = (2x + 8)(3x + -6) Combine like terms: -6x + 2x = -4x (-2 + -4x + 6x2) = (2x + 8)(3x + -6) Reorder the terms: -2 + -4x + 6x2 = (8 + 2x)(3x + -6) Reorder the terms: -2 + -4x + 6x2 = (8 + 2x)(-6 + 3x) Multiply (8 + 2x) * (-6 + 3x) -2 + -4x + 6x2 = (8(-6 + 3x) + 2x * (-6 + 3x)) -2 + -4x + 6x2 = ((-6 * 8 + 3x * 8) + 2x * (-6 + 3x)) -2 + -4x + 6x2 = ((-48 + 24x) + 2x * (-6 + 3x)) -2 + -4x + 6x2 = (-48 + 24x + (-6 * 2x + 3x * 2x)) -2 + -4x + 6x2 = (-48 + 24x + (-12x + 6x2)) Combine like terms: 24x + -12x = 12x -2 + -4x + 6x2 = (-48 + 12x + 6x2) Add '-6x2' to each side of the equation. -2 + -4x + 6x2 + -6x2 = -48 + 12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2 + -4x + 0 = -48 + 12x + 6x2 + -6x2 -2 + -4x = -48 + 12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2 + -4x = -48 + 12x + 0 -2 + -4x = -48 + 12x Solving -2 + -4x = -48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + -4x + -12x = -48 + 12x + -12x Combine like terms: -4x + -12x = -16x -2 + -16x = -48 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -16x = -48 + 0 -2 + -16x = -48 Add '2' to each side of the equation. -2 + 2 + -16x = -48 + 2 Combine like terms: -2 + 2 = 0 0 + -16x = -48 + 2 -16x = -48 + 2 Combine like terms: -48 + 2 = -46 -16x = -46 Divide each side by '-16'. x = 2.875 Simplifying x = 2.875
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