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Simplifying 3x(x + 26) = (3x + 4)(x + 2) Reorder the terms: 3x(26 + x) = (3x + 4)(x + 2) (26 * 3x + x * 3x) = (3x + 4)(x + 2) (78x + 3x2) = (3x + 4)(x + 2) Reorder the terms: 78x + 3x2 = (4 + 3x)(x + 2) Reorder the terms: 78x + 3x2 = (4 + 3x)(2 + x) Multiply (4 + 3x) * (2 + x) 78x + 3x2 = (4(2 + x) + 3x * (2 + x)) 78x + 3x2 = ((2 * 4 + x * 4) + 3x * (2 + x)) 78x + 3x2 = ((8 + 4x) + 3x * (2 + x)) 78x + 3x2 = (8 + 4x + (2 * 3x + x * 3x)) 78x + 3x2 = (8 + 4x + (6x + 3x2)) Combine like terms: 4x + 6x = 10x 78x + 3x2 = (8 + 10x + 3x2) Add '-3x2' to each side of the equation. 78x + 3x2 + -3x2 = 8 + 10x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 78x + 0 = 8 + 10x + 3x2 + -3x2 78x = 8 + 10x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 78x = 8 + 10x + 0 78x = 8 + 10x Solving 78x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 78x + -10x = 8 + 10x + -10x Combine like terms: 78x + -10x = 68x 68x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 68x = 8 + 0 68x = 8 Divide each side by '68'. x = 0.1176470588 Simplifying x = 0.1176470588
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