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Simplifying 0.5(x + 3) = 6 Reorder the terms: 0.5(3 + x) = 6 (3 * 0.5 + x * 0.5) = 6 (1.5 + 0.5x) = 6 Solving 1.5 + 0.5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.5x = 6 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5x = 6 + -1.5 0.5x = 6 + -1.5 Combine like terms: 6 + -1.5 = 4.5 0.5x = 4.5 Divide each side by '0.5'. x = 9 Simplifying x = 9

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