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Simplifying 12x = 8 + 2(5x + 3) Reorder the terms: 12x = 8 + 2(3 + 5x) 12x = 8 + (3 * 2 + 5x * 2) 12x = 8 + (6 + 10x) Combine like terms: 8 + 6 = 14 12x = 14 + 10x Solving 12x = 14 + 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. 12x + -10x = 14 + 10x + -10x Combine like terms: 12x + -10x = 2x 2x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 2x = 14 + 0 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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