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Simplifying 0.05x + 0.25(0.20 + x) = 6 0.05x + (0.20 * 0.25 + x * 0.25) = 6 0.05x + (0.05 + 0.25x) = 6 Reorder the terms: 0.05 + 0.05x + 0.25x = 6 Combine like terms: 0.05x + 0.25x = 0.3x 0.05 + 0.3x = 6 Solving 0.05 + 0.3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05' to each side of the equation. 0.05 + -0.05 + 0.3x = 6 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 0.3x = 6 + -0.05 0.3x = 6 + -0.05 Combine like terms: 6 + -0.05 = 5.95 0.3x = 5.95 Divide each side by '0.3'. x = 19.83333333 Simplifying x = 19.83333333
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