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Simplifying 0.4(x + 300) = 0.47x + -377 Reorder the terms: 0.4(300 + x) = 0.47x + -377 (300 * 0.4 + x * 0.4) = 0.47x + -377 (120 + 0.4x) = 0.47x + -377 Reorder the terms: 120 + 0.4x = -377 + 0.47x Solving 120 + 0.4x = -377 + 0.47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.47x' to each side of the equation. 120 + 0.4x + -0.47x = -377 + 0.47x + -0.47x Combine like terms: 0.4x + -0.47x = -0.07x 120 + -0.07x = -377 + 0.47x + -0.47x Combine like terms: 0.47x + -0.47x = 0.00 120 + -0.07x = -377 + 0.00 120 + -0.07x = -377 Add '-120' to each side of the equation. 120 + -120 + -0.07x = -377 + -120 Combine like terms: 120 + -120 = 0 0 + -0.07x = -377 + -120 -0.07x = -377 + -120 Combine like terms: -377 + -120 = -497 -0.07x = -497 Divide each side by '-0.07'. x = 7100 Simplifying x = 7100
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