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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 = 8x -2 + 4x + 6x2 = (-8 + 8x + 6x2) Add '-6x2' to each side of the equation. -2 + 4x + 6x2 + -6x2 = -8 + 8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2 + 4x + 0 = -8 + 8x + 6x2 + -6x2 -2 + 4x = -8 + 8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2 + 4x = -8 + 8x + 0 -2 + 4x = -8 + 8x Solving -2 + 4x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 4x + -8x = -8 + 8x + -8x Combine like terms: 4x + -8x = -4x -2 + -4x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -4x = -8 + 0 -2 + -4x = -8 Add '2' to each side of the equation. -2 + 2 + -4x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -8 + 2 -4x = -8 + 2 Combine like terms: -8 + 2 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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