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Simplifying 3x = 0.50(12 + [x + 3]) Reorder the terms: 3x = 0.50(12 + [3 + x]) Remove brackets around [3 + x] 3x = 0.50(12 + 3 + x) Combine like terms: 12 + 3 = 15 3x = 0.50(15 + x) 3x = (15 * 0.50 + x * 0.50) 3x = (7.5 + 0.50x) Solving 3x = 7.5 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 3x + -0.50x = 7.5 + 0.50x + -0.50x Combine like terms: 3x + -0.50x = 2.5x 2.5x = 7.5 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 2.5x = 7.5 + 0.00 2.5x = 7.5 Divide each side by '2.5'. x = 3 Simplifying x = 3
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