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Simplifying 0.5(x + 70) + 0.5x = 60 Reorder the terms: 0.5(70 + x) + 0.5x = 60 (70 * 0.5 + x * 0.5) + 0.5x = 60 (35 + 0.5x) + 0.5x = 60 Combine like terms: 0.5x + 0.5x = 1x 35 + 1x = 60 Solving 35 + 1x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 1x = 60 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 60 + -35 1x = 60 + -35 Combine like terms: 60 + -35 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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