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Simplifying 0.5(2x + 9) = 100 Reorder the terms: 0.5(9 + 2x) = 100 (9 * 0.5 + 2x * 0.5) = 100 (4.5 + 1x) = 100 Solving 4.5 + 1x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + 1x = 100 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 1x = 100 + -4.5 1x = 100 + -4.5 Combine like terms: 100 + -4.5 = 95.5 1x = 95.5 Divide each side by '1'. x = 95.5 Simplifying x = 95.5
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