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Simplifying (2x + -3)(4x + 2) = (8x + 3)(x + -4) Reorder the terms: (-3 + 2x)(4x + 2) = (8x + 3)(x + -4) Reorder the terms: (-3 + 2x)(2 + 4x) = (8x + 3)(x + -4) Multiply (-3 + 2x) * (2 + 4x) (-3(2 + 4x) + 2x * (2 + 4x)) = (8x + 3)(x + -4) ((2 * -3 + 4x * -3) + 2x * (2 + 4x)) = (8x + 3)(x + -4) ((-6 + -12x) + 2x * (2 + 4x)) = (8x + 3)(x + -4) (-6 + -12x + (2 * 2x + 4x * 2x)) = (8x + 3)(x + -4) (-6 + -12x + (4x + 8x2)) = (8x + 3)(x + -4) Combine like terms: -12x + 4x = -8x (-6 + -8x + 8x2) = (8x + 3)(x + -4) Reorder the terms: -6 + -8x + 8x2 = (3 + 8x)(x + -4) Reorder the terms: -6 + -8x + 8x2 = (3 + 8x)(-4 + x) Multiply (3 + 8x) * (-4 + x) -6 + -8x + 8x2 = (3(-4 + x) + 8x * (-4 + x)) -6 + -8x + 8x2 = ((-4 * 3 + x * 3) + 8x * (-4 + x)) -6 + -8x + 8x2 = ((-12 + 3x) + 8x * (-4 + x)) -6 + -8x + 8x2 = (-12 + 3x + (-4 * 8x + x * 8x)) -6 + -8x + 8x2 = (-12 + 3x + (-32x + 8x2)) Combine like terms: 3x + -32x = -29x -6 + -8x + 8x2 = (-12 + -29x + 8x2) Add '-8x2' to each side of the equation. -6 + -8x + 8x2 + -8x2 = -12 + -29x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -6 + -8x + 0 = -12 + -29x + 8x2 + -8x2 -6 + -8x = -12 + -29x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -6 + -8x = -12 + -29x + 0 -6 + -8x = -12 + -29x Solving -6 + -8x = -12 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. -6 + -8x + 29x = -12 + -29x + 29x Combine like terms: -8x + 29x = 21x -6 + 21x = -12 + -29x + 29x Combine like terms: -29x + 29x = 0 -6 + 21x = -12 + 0 -6 + 21x = -12 Add '6' to each side of the equation. -6 + 6 + 21x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 21x = -12 + 6 21x = -12 + 6 Combine like terms: -12 + 6 = -6 21x = -6 Divide each side by '21'. x = -0.2857142857 Simplifying x = -0.2857142857
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