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Simplifying 3(4x + 2) = 2(1 + 5x) + 8 Reorder the terms: 3(2 + 4x) = 2(1 + 5x) + 8 (2 * 3 + 4x * 3) = 2(1 + 5x) + 8 (6 + 12x) = 2(1 + 5x) + 8 6 + 12x = (1 * 2 + 5x * 2) + 8 6 + 12x = (2 + 10x) + 8 Reorder the terms: 6 + 12x = 2 + 8 + 10x Combine like terms: 2 + 8 = 10 6 + 12x = 10 + 10x Solving 6 + 12x = 10 + 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. 6 + 12x + -10x = 10 + 10x + -10x Combine like terms: 12x + -10x = 2x 6 + 2x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 2x = 10 + 0 6 + 2x = 10 Add '-6' to each side of the equation. 6 + -6 + 2x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 10 + -6 2x = 10 + -6 Combine like terms: 10 + -6 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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