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Simplifying 0.25x + 0.05(0.20 + x) = 6 0.25x + (0.20 * 0.05 + x * 0.05) = 6 0.25x + (0.01 + 0.05x) = 6 Reorder the terms: 0.01 + 0.25x + 0.05x = 6 Combine like terms: 0.25x + 0.05x = 0.3x 0.01 + 0.3x = 6 Solving 0.01 + 0.3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01' to each side of the equation. 0.01 + -0.01 + 0.3x = 6 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + 0.3x = 6 + -0.01 0.3x = 6 + -0.01 Combine like terms: 6 + -0.01 = 5.99 0.3x = 5.99 Divide each side by '0.3'. x = 19.96666667 Simplifying x = 19.96666667
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