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Simplifying 0.05x + 0.10(4 + x) = 47.70 0.05x + (4 * 0.10 + x * 0.10) = 47.70 0.05x + (0.4 + 0.10x) = 47.70 Reorder the terms: 0.4 + 0.05x + 0.10x = 47.70 Combine like terms: 0.05x + 0.10x = 0.15x 0.4 + 0.15x = 47.70 Solving 0.4 + 0.15x = 47.70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.15x = 47.70 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.15x = 47.70 + -0.4 0.15x = 47.70 + -0.4 Combine like terms: 47.70 + -0.4 = 47.3 0.15x = 47.3 Divide each side by '0.15'. x = 315.3333333 Simplifying x = 315.3333333
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