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Simplifying (x + 1)(6x + -2) = (2x + 4)(3x + 2) Reorder the terms: (1 + x)(6x + -2) = (2x + 4)(3x + 2) Reorder the terms: (1 + x)(-2 + 6x) = (2x + 4)(3x + 2) Multiply (1 + x) * (-2 + 6x) (1(-2 + 6x) + x(-2 + 6x)) = (2x + 4)(3x + 2) ((-2 * 1 + 6x * 1) + x(-2 + 6x)) = (2x + 4)(3x + 2) ((-2 + 6x) + x(-2 + 6x)) = (2x + 4)(3x + 2) (-2 + 6x + (-2 * x + 6x * x)) = (2x + 4)(3x + 2) (-2 + 6x + (-2x + 6x2)) = (2x + 4)(3x + 2) Combine like terms: 6x + -2x = 4x (-2 + 4x + 6x2) = (2x + 4)(3x + 2) Reorder the terms: -2 + 4x + 6x2 = (4 + 2x)(3x + 2) Reorder the terms: -2 + 4x + 6x2 = (4 + 2x)(2 + 3x) Multiply (4 + 2x) * (2 + 3x) -2 + 4x + 6x2 = (4(2 + 3x) + 2x * (2 + 3x)) -2 + 4x + 6x2 = ((2 * 4 + 3x * 4) + 2x * (2 + 3x)) -2 + 4x + 6x2 = ((8 + 12x) + 2x * (2 + 3x)) -2 + 4x + 6x2 = (8 + 12x + (2 * 2x + 3x * 2x)) -2 + 4x + 6x2 = (8 + 12x + (4x + 6x2)) Combine like terms: 12x + 4x = 16x -2 + 4x + 6x2 = (8 + 16x + 6x2) Add '-6x2' to each side of the equation. -2 + 4x + 6x2 + -6x2 = 8 + 16x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2 + 4x + 0 = 8 + 16x + 6x2 + -6x2 -2 + 4x = 8 + 16x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2 + 4x = 8 + 16x + 0 -2 + 4x = 8 + 16x Solving -2 + 4x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -2 + 4x + -16x = 8 + 16x + -16x Combine like terms: 4x + -16x = -12x -2 + -12x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 -2 + -12x = 8 + 0 -2 + -12x = 8 Add '2' to each side of the equation. -2 + 2 + -12x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 8 + 2 -12x = 8 + 2 Combine like terms: 8 + 2 = 10 -12x = 10 Divide each side by '-12'. x = -0.8333333333 Simplifying x = -0.8333333333
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