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Simplifying 0.1x + 0.25(x + 30) = 82.50 Reorder the terms: 0.1x + 0.25(30 + x) = 82.50 0.1x + (30 * 0.25 + x * 0.25) = 82.50 0.1x + (7.5 + 0.25x) = 82.50 Reorder the terms: 7.5 + 0.1x + 0.25x = 82.50 Combine like terms: 0.1x + 0.25x = 0.35x 7.5 + 0.35x = 82.50 Solving 7.5 + 0.35x = 82.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + 0.35x = 82.50 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 0.35x = 82.50 + -7.5 0.35x = 82.50 + -7.5 Combine like terms: 82.50 + -7.5 = 75 0.35x = 75 Divide each side by '0.35'. x = 214.2857143 Simplifying x = 214.2857143
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