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Simplifying 0.5(x + 60) + 0.5x = 55 Reorder the terms: 0.5(60 + x) + 0.5x = 55 (60 * 0.5 + x * 0.5) + 0.5x = 55 (30 + 0.5x) + 0.5x = 55 Combine like terms: 0.5x + 0.5x = 1x 30 + 1x = 55 Solving 30 + 1x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1x = 55 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 55 + -30 1x = 55 + -30 Combine like terms: 55 + -30 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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