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Simplifying (2x + -6)(4x + 2) = (8x + 3)(x + -4) Reorder the terms: (-6 + 2x)(4x + 2) = (8x + 3)(x + -4) Reorder the terms: (-6 + 2x)(2 + 4x) = (8x + 3)(x + -4) Multiply (-6 + 2x) * (2 + 4x) (-6(2 + 4x) + 2x * (2 + 4x)) = (8x + 3)(x + -4) ((2 * -6 + 4x * -6) + 2x * (2 + 4x)) = (8x + 3)(x + -4) ((-12 + -24x) + 2x * (2 + 4x)) = (8x + 3)(x + -4) (-12 + -24x + (2 * 2x + 4x * 2x)) = (8x + 3)(x + -4) (-12 + -24x + (4x + 8x2)) = (8x + 3)(x + -4) Combine like terms: -24x + 4x = -20x (-12 + -20x + 8x2) = (8x + 3)(x + -4) Reorder the terms: -12 + -20x + 8x2 = (3 + 8x)(x + -4) Reorder the terms: -12 + -20x + 8x2 = (3 + 8x)(-4 + x) Multiply (3 + 8x) * (-4 + x) -12 + -20x + 8x2 = (3(-4 + x) + 8x * (-4 + x)) -12 + -20x + 8x2 = ((-4 * 3 + x * 3) + 8x * (-4 + x)) -12 + -20x + 8x2 = ((-12 + 3x) + 8x * (-4 + x)) -12 + -20x + 8x2 = (-12 + 3x + (-4 * 8x + x * 8x)) -12 + -20x + 8x2 = (-12 + 3x + (-32x + 8x2)) Combine like terms: 3x + -32x = -29x -12 + -20x + 8x2 = (-12 + -29x + 8x2) Add '12' to each side of the equation. -12 + -20x + 12 + 8x2 = -12 + -29x + 12 + 8x2 Reorder the terms: -12 + 12 + -20x + 8x2 = -12 + -29x + 12 + 8x2 Combine like terms: -12 + 12 = 0 0 + -20x + 8x2 = -12 + -29x + 12 + 8x2 -20x + 8x2 = -12 + -29x + 12 + 8x2 Reorder the terms: -20x + 8x2 = -12 + 12 + -29x + 8x2 Combine like terms: -12 + 12 = 0 -20x + 8x2 = 0 + -29x + 8x2 -20x + 8x2 = -29x + 8x2 Add '-8x2' to each side of the equation. -20x + 8x2 + -8x2 = -29x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -20x + 0 = -29x + 8x2 + -8x2 -20x = -29x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -20x = -29x + 0 -20x = -29x Solving -20x = -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. -20x + 29x = -29x + 29x Combine like terms: -20x + 29x = 9x 9x = -29x + 29x Combine like terms: -29x + 29x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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