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Simplifying 0.14x + 0.07(6000 + -1x) = 511 0.14x + (6000 * 0.07 + -1x * 0.07) = 511 0.14x + (420 + -0.07x) = 511 Reorder the terms: 420 + 0.14x + -0.07x = 511 Combine like terms: 0.14x + -0.07x = 0.07x 420 + 0.07x = 511 Solving 420 + 0.07x = 511 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 + 0.07x = 511 + -420 Combine like terms: 420 + -420 = 0 0 + 0.07x = 511 + -420 0.07x = 511 + -420 Combine like terms: 511 + -420 = 91 0.07x = 91 Divide each side by '0.07'. x = 1300 Simplifying x = 1300
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