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Simplifying 0.5(x + 30) + 0.5x = 35 Reorder the terms: 0.5(30 + x) + 0.5x = 35 (30 * 0.5 + x * 0.5) + 0.5x = 35 (15 + 0.5x) + 0.5x = 35 Combine like terms: 0.5x + 0.5x = 1x 15 + 1x = 35 Solving 15 + 1x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1x = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 35 + -15 1x = 35 + -15 Combine like terms: 35 + -15 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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