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Simplifying 0.09x + 0.11(x + 6000) = 1460 Reorder the terms: 0.09x + 0.11(6000 + x) = 1460 0.09x + (6000 * 0.11 + x * 0.11) = 1460 0.09x + (660 + 0.11x) = 1460 Reorder the terms: 660 + 0.09x + 0.11x = 1460 Combine like terms: 0.09x + 0.11x = 0.2x 660 + 0.2x = 1460 Solving 660 + 0.2x = 1460 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-660' to each side of the equation. 660 + -660 + 0.2x = 1460 + -660 Combine like terms: 660 + -660 = 0 0 + 0.2x = 1460 + -660 0.2x = 1460 + -660 Combine like terms: 1460 + -660 = 800 0.2x = 800 Divide each side by '0.2'. x = 4000 Simplifying x = 4000
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