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Simplifying 0.5(3 + x) = 2.5 (3 * 0.5 + x * 0.5) = 2.5 (1.5 + 0.5x) = 2.5 Solving 1.5 + 0.5x = 2.5 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 = 2.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5x = 2.5 + -1.5 0.5x = 2.5 + -1.5 Combine like terms: 2.5 + -1.5 = 1 0.5x = 1 Divide each side by '0.5'. x = 2 Simplifying x = 2
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