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Simplifying 0.5(18x + 24) = 82 Reorder the terms: 0.5(24 + 18x) = 82 (24 * 0.5 + 18x * 0.5) = 82 (12 + 9x) = 82 Solving 12 + 9x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 9x = 82 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 82 + -12 9x = 82 + -12 Combine like terms: 82 + -12 = 70 9x = 70 Divide each side by '9'. x = 7.777777778 Simplifying x = 7.777777778
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