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Simplifying 0.03(X + 4000) = -0.13X + 760 Reorder the terms: 0.03(4000 + X) = -0.13X + 760 (4000 * 0.03 + X * 0.03) = -0.13X + 760 (120 + 0.03X) = -0.13X + 760 Reorder the terms: 120 + 0.03X = 760 + -0.13X Solving 120 + 0.03X = 760 + -0.13X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.13X' to each side of the equation. 120 + 0.03X + 0.13X = 760 + -0.13X + 0.13X Combine like terms: 0.03X + 0.13X = 0.16X 120 + 0.16X = 760 + -0.13X + 0.13X Combine like terms: -0.13X + 0.13X = 0.00 120 + 0.16X = 760 + 0.00 120 + 0.16X = 760 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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