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Simplifying 0.1x + 0.05(20 + x) = 6.25 0.1x + (20 * 0.05 + x * 0.05) = 6.25 0.1x + (1 + 0.05x) = 6.25 Reorder the terms: 1 + 0.1x + 0.05x = 6.25 Combine like terms: 0.1x + 0.05x = 0.15x 1 + 0.15x = 6.25 Solving 1 + 0.15x = 6.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.15x = 6.25 + -1 Combine like terms: 1 + -1 = 0 0 + 0.15x = 6.25 + -1 0.15x = 6.25 + -1 Combine like terms: 6.25 + -1 = 5.25 0.15x = 5.25 Divide each side by '0.15'. x = 35 Simplifying x = 35
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