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Simplifying 0.08x + 0.5(x + 200) = 140.6 Reorder the terms: 0.08x + 0.5(200 + x) = 140.6 0.08x + (200 * 0.5 + x * 0.5) = 140.6 0.08x + (100 + 0.5x) = 140.6 Reorder the terms: 100 + 0.08x + 0.5x = 140.6 Combine like terms: 0.08x + 0.5x = 0.58x 100 + 0.58x = 140.6 Solving 100 + 0.58x = 140.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 0.58x = 140.6 + -100 Combine like terms: 100 + -100 = 0 0 + 0.58x = 140.6 + -100 0.58x = 140.6 + -100 Combine like terms: 140.6 + -100 = 40.6 0.58x = 40.6 Divide each side by '0.58'. x = 70 Simplifying x = 70
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