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Simplifying 0.01x + 0.05(x + 5) + 0.1(x + 14) = 3.65 Reorder the terms: 0.01x + 0.05(5 + x) + 0.1(x + 14) = 3.65 0.01x + (5 * 0.05 + x * 0.05) + 0.1(x + 14) = 3.65 0.01x + (0.25 + 0.05x) + 0.1(x + 14) = 3.65 Reorder the terms: 0.01x + 0.25 + 0.05x + 0.1(14 + x) = 3.65 0.01x + 0.25 + 0.05x + (14 * 0.1 + x * 0.1) = 3.65 0.01x + 0.25 + 0.05x + (1.4 + 0.1x) = 3.65 Reorder the terms: 0.25 + 1.4 + 0.01x + 0.05x + 0.1x = 3.65 Combine like terms: 0.25 + 1.4 = 1.65 1.65 + 0.01x + 0.05x + 0.1x = 3.65 Combine like terms: 0.01x + 0.05x = 0.06x 1.65 + 0.06x + 0.1x = 3.65 Combine like terms: 0.06x + 0.1x = 0.16x 1.65 + 0.16x = 3.65 Solving 1.65 + 0.16x = 3.65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.65' to each side of the equation. 1.65 + -1.65 + 0.16x = 3.65 + -1.65 Combine like terms: 1.65 + -1.65 = 0.00 0.00 + 0.16x = 3.65 + -1.65 0.16x = 3.65 + -1.65 Combine like terms: 3.65 + -1.65 = 2 0.16x = 2 Divide each side by '0.16'. x = 12.5 Simplifying x = 12.5
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