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Simplifying 0.13x + 0.03(x + 4000) = 760 Reorder the terms: 0.13x + 0.03(4000 + x) = 760 0.13x + (4000 * 0.03 + x * 0.03) = 760 0.13x + (120 + 0.03x) = 760 Reorder the terms: 120 + 0.13x + 0.03x = 760 Combine like terms: 0.13x + 0.03x = 0.16x 120 + 0.16x = 760 Solving 120 + 0.16x = 760 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 0.16x = 760 + -120 Combine like terms: 120 + -120 = 0 0 + 0.16x = 760 + -120 0.16x = 760 + -120 Combine like terms: 760 + -120 = 640 0.16x = 640 Divide each side by '0.16'. x = 4000 Simplifying x = 4000
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