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Simplifying 0.11x + 0.02(x + 2000) = 430 Reorder the terms: 0.11x + 0.02(2000 + x) = 430 0.11x + (2000 * 0.02 + x * 0.02) = 430 0.11x + (40 + 0.02x) = 430 Reorder the terms: 40 + 0.11x + 0.02x = 430 Combine like terms: 0.11x + 0.02x = 0.13x 40 + 0.13x = 430 Solving 40 + 0.13x = 430 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 0.13x = 430 + -40 Combine like terms: 40 + -40 = 0 0 + 0.13x = 430 + -40 0.13x = 430 + -40 Combine like terms: 430 + -40 = 390 0.13x = 390 Divide each side by '0.13'. x = 3000 Simplifying x = 3000
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