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Simplifying 0.11x + 0.12(x + 4000) = 900 Reorder the terms: 0.11x + 0.12(4000 + x) = 900 0.11x + (4000 * 0.12 + x * 0.12) = 900 0.11x + (480 + 0.12x) = 900 Reorder the terms: 480 + 0.11x + 0.12x = 900 Combine like terms: 0.11x + 0.12x = 0.23x 480 + 0.23x = 900 Solving 480 + 0.23x = 900 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-480' to each side of the equation. 480 + -480 + 0.23x = 900 + -480 Combine like terms: 480 + -480 = 0 0 + 0.23x = 900 + -480 0.23x = 900 + -480 Combine like terms: 900 + -480 = 420 0.23x = 420 Divide each side by '0.23'. x = 1826.086957 Simplifying x = 1826.086957
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