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Simplifying 0.5(3x + 12) = 42 Reorder the terms: 0.5(12 + 3x) = 42 (12 * 0.5 + 3x * 0.5) = 42 (6 + 1.5x) = 42 Solving 6 + 1.5x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1.5x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 1.5x = 42 + -6 1.5x = 42 + -6 Combine like terms: 42 + -6 = 36 1.5x = 36 Divide each side by '1.5'. x = 24 Simplifying x = 24
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