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Simplifying (6x + 4)(4x + 2) = (8x + 4)(3x + 2) Reorder the terms: (4 + 6x)(4x + 2) = (8x + 4)(3x + 2) Reorder the terms: (4 + 6x)(2 + 4x) = (8x + 4)(3x + 2) Multiply (4 + 6x) * (2 + 4x) (4(2 + 4x) + 6x * (2 + 4x)) = (8x + 4)(3x + 2) ((2 * 4 + 4x * 4) + 6x * (2 + 4x)) = (8x + 4)(3x + 2) ((8 + 16x) + 6x * (2 + 4x)) = (8x + 4)(3x + 2) (8 + 16x + (2 * 6x + 4x * 6x)) = (8x + 4)(3x + 2) (8 + 16x + (12x + 24x2)) = (8x + 4)(3x + 2) Combine like terms: 16x + 12x = 28x (8 + 28x + 24x2) = (8x + 4)(3x + 2) Reorder the terms: 8 + 28x + 24x2 = (4 + 8x)(3x + 2) Reorder the terms: 8 + 28x + 24x2 = (4 + 8x)(2 + 3x) Multiply (4 + 8x) * (2 + 3x) 8 + 28x + 24x2 = (4(2 + 3x) + 8x * (2 + 3x)) 8 + 28x + 24x2 = ((2 * 4 + 3x * 4) + 8x * (2 + 3x)) 8 + 28x + 24x2 = ((8 + 12x) + 8x * (2 + 3x)) 8 + 28x + 24x2 = (8 + 12x + (2 * 8x + 3x * 8x)) 8 + 28x + 24x2 = (8 + 12x + (16x + 24x2)) Combine like terms: 12x + 16x = 28x 8 + 28x + 24x2 = (8 + 28x + 24x2) Add '-8' to each side of the equation. 8 + 28x + -8 + 24x2 = 8 + 28x + -8 + 24x2 Reorder the terms: 8 + -8 + 28x + 24x2 = 8 + 28x + -8 + 24x2 Combine like terms: 8 + -8 = 0 0 + 28x + 24x2 = 8 + 28x + -8 + 24x2 28x + 24x2 = 8 + 28x + -8 + 24x2 Reorder the terms: 28x + 24x2 = 8 + -8 + 28x + 24x2 Combine like terms: 8 + -8 = 0 28x + 24x2 = 0 + 28x + 24x2 28x + 24x2 = 28x + 24x2 Add '-28x' to each side of the equation. 28x + -28x + 24x2 = 28x + -28x + 24x2 Combine like terms: 28x + -28x = 0 0 + 24x2 = 28x + -28x + 24x2 24x2 = 28x + -28x + 24x2 Combine like terms: 28x + -28x = 0 24x2 = 0 + 24x2 24x2 = 24x2 Add '-24x2' to each side of the equation. 24x2 + -24x2 = 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 0 = 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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