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Simplifying -0.05x + 0.14(x + 3000) = 465 Reorder the terms: -0.05x + 0.14(3000 + x) = 465 -0.05x + (3000 * 0.14 + x * 0.14) = 465 -0.05x + (420 + 0.14x) = 465 Reorder the terms: 420 + -0.05x + 0.14x = 465 Combine like terms: -0.05x + 0.14x = 0.09x 420 + 0.09x = 465 Solving 420 + 0.09x = 465 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + -420 + 0.09x = 465 + -420 Combine like terms: 420 + -420 = 0 0 + 0.09x = 465 + -420 0.09x = 465 + -420 Combine like terms: 465 + -420 = 45 0.09x = 45 Divide each side by '0.09'. x = 500 Simplifying x = 500
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