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Simplifying (8x + -2)(3x + 4) = (4x + 3)(6x + 1) Reorder the terms: (-2 + 8x)(3x + 4) = (4x + 3)(6x + 1) Reorder the terms: (-2 + 8x)(4 + 3x) = (4x + 3)(6x + 1) Multiply (-2 + 8x) * (4 + 3x) (-2(4 + 3x) + 8x * (4 + 3x)) = (4x + 3)(6x + 1) ((4 * -2 + 3x * -2) + 8x * (4 + 3x)) = (4x + 3)(6x + 1) ((-8 + -6x) + 8x * (4 + 3x)) = (4x + 3)(6x + 1) (-8 + -6x + (4 * 8x + 3x * 8x)) = (4x + 3)(6x + 1) (-8 + -6x + (32x + 24x2)) = (4x + 3)(6x + 1) Combine like terms: -6x + 32x = 26x (-8 + 26x + 24x2) = (4x + 3)(6x + 1) Reorder the terms: -8 + 26x + 24x2 = (3 + 4x)(6x + 1) Reorder the terms: -8 + 26x + 24x2 = (3 + 4x)(1 + 6x) Multiply (3 + 4x) * (1 + 6x) -8 + 26x + 24x2 = (3(1 + 6x) + 4x * (1 + 6x)) -8 + 26x + 24x2 = ((1 * 3 + 6x * 3) + 4x * (1 + 6x)) -8 + 26x + 24x2 = ((3 + 18x) + 4x * (1 + 6x)) -8 + 26x + 24x2 = (3 + 18x + (1 * 4x + 6x * 4x)) -8 + 26x + 24x2 = (3 + 18x + (4x + 24x2)) Combine like terms: 18x + 4x = 22x -8 + 26x + 24x2 = (3 + 22x + 24x2) Add '-24x2' to each side of the equation. -8 + 26x + 24x2 + -24x2 = 3 + 22x + 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 -8 + 26x + 0 = 3 + 22x + 24x2 + -24x2 -8 + 26x = 3 + 22x + 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 -8 + 26x = 3 + 22x + 0 -8 + 26x = 3 + 22x Solving -8 + 26x = 3 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -8 + 26x + -22x = 3 + 22x + -22x Combine like terms: 26x + -22x = 4x -8 + 4x = 3 + 22x + -22x Combine like terms: 22x + -22x = 0 -8 + 4x = 3 + 0 -8 + 4x = 3 Add '8' to each side of the equation. -8 + 8 + 4x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 3 + 8 4x = 3 + 8 Combine like terms: 3 + 8 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75
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