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Simplifying 10x + 0.05(x + 8) = 3.40 Reorder the terms: 10x + 0.05(8 + x) = 3.40 10x + (8 * 0.05 + x * 0.05) = 3.40 10x + (0.4 + 0.05x) = 3.40 Reorder the terms: 0.4 + 10x + 0.05x = 3.40 Combine like terms: 10x + 0.05x = 10.05x 0.4 + 10.05x = 3.40 Solving 0.4 + 10.05x = 3.40 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 + 10.05x = 3.40 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 10.05x = 3.40 + -0.4 10.05x = 3.40 + -0.4 Combine like terms: 3.40 + -0.4 = 3 10.05x = 3 Divide each side by '10.05'. x = 0.2985074627 Simplifying x = 0.2985074627
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