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Simplifying (6x + 7)(2x + -4) = (3x + 8)(4x + -1) Reorder the terms: (7 + 6x)(2x + -4) = (3x + 8)(4x + -1) Reorder the terms: (7 + 6x)(-4 + 2x) = (3x + 8)(4x + -1) Multiply (7 + 6x) * (-4 + 2x) (7(-4 + 2x) + 6x * (-4 + 2x)) = (3x + 8)(4x + -1) ((-4 * 7 + 2x * 7) + 6x * (-4 + 2x)) = (3x + 8)(4x + -1) ((-28 + 14x) + 6x * (-4 + 2x)) = (3x + 8)(4x + -1) (-28 + 14x + (-4 * 6x + 2x * 6x)) = (3x + 8)(4x + -1) (-28 + 14x + (-24x + 12x2)) = (3x + 8)(4x + -1) Combine like terms: 14x + -24x = -10x (-28 + -10x + 12x2) = (3x + 8)(4x + -1) Reorder the terms: -28 + -10x + 12x2 = (8 + 3x)(4x + -1) Reorder the terms: -28 + -10x + 12x2 = (8 + 3x)(-1 + 4x) Multiply (8 + 3x) * (-1 + 4x) -28 + -10x + 12x2 = (8(-1 + 4x) + 3x * (-1 + 4x)) -28 + -10x + 12x2 = ((-1 * 8 + 4x * 8) + 3x * (-1 + 4x)) -28 + -10x + 12x2 = ((-8 + 32x) + 3x * (-1 + 4x)) -28 + -10x + 12x2 = (-8 + 32x + (-1 * 3x + 4x * 3x)) -28 + -10x + 12x2 = (-8 + 32x + (-3x + 12x2)) Combine like terms: 32x + -3x = 29x -28 + -10x + 12x2 = (-8 + 29x + 12x2) Add '-12x2' to each side of the equation. -28 + -10x + 12x2 + -12x2 = -8 + 29x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -28 + -10x + 0 = -8 + 29x + 12x2 + -12x2 -28 + -10x = -8 + 29x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -28 + -10x = -8 + 29x + 0 -28 + -10x = -8 + 29x Solving -28 + -10x = -8 + 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. -28 + -10x + -29x = -8 + 29x + -29x Combine like terms: -10x + -29x = -39x -28 + -39x = -8 + 29x + -29x Combine like terms: 29x + -29x = 0 -28 + -39x = -8 + 0 -28 + -39x = -8 Add '28' to each side of the equation. -28 + 28 + -39x = -8 + 28 Combine like terms: -28 + 28 = 0 0 + -39x = -8 + 28 -39x = -8 + 28 Combine like terms: -8 + 28 = 20 -39x = 20 Divide each side by '-39'. x = -0.5128205128 Simplifying x = -0.5128205128
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