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Simplifying 0.11x + 0.05(y + 2000) = 1540 Reorder the terms: 0.11x + 0.05(2000 + y) = 1540 0.11x + (2000 * 0.05 + y * 0.05) = 1540 0.11x + (100 + 0.05y) = 1540 Reorder the terms: 100 + 0.11x + 0.05y = 1540 Solving 100 + 0.11x + 0.05y = 1540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + 0.11x + -100 + 0.05y = 1540 + -100 Reorder the terms: 100 + -100 + 0.11x + 0.05y = 1540 + -100 Combine like terms: 100 + -100 = 0 0 + 0.11x + 0.05y = 1540 + -100 0.11x + 0.05y = 1540 + -100 Combine like terms: 1540 + -100 = 1440 0.11x + 0.05y = 1440 Add '-0.05y' to each side of the equation. 0.11x + 0.05y + -0.05y = 1440 + -0.05y Combine like terms: 0.05y + -0.05y = 0.00 0.11x + 0.00 = 1440 + -0.05y 0.11x = 1440 + -0.05y Divide each side by '0.11'. x = 13090.90909 + -0.4545454545y Simplifying x = 13090.90909 + -0.4545454545y
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