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Simplifying 0.4(x + 200) = 0.47x + -417 Reorder the terms: 0.4(200 + x) = 0.47x + -417 (200 * 0.4 + x * 0.4) = 0.47x + -417 (80 + 0.4x) = 0.47x + -417 Reorder the terms: 80 + 0.4x = -417 + 0.47x Solving 80 + 0.4x = -417 + 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. 80 + 0.4x + -0.47x = -417 + 0.47x + -0.47x Combine like terms: 0.4x + -0.47x = -0.07x 80 + -0.07x = -417 + 0.47x + -0.47x Combine like terms: 0.47x + -0.47x = 0.00 80 + -0.07x = -417 + 0.00 80 + -0.07x = -417 Add '-80' to each side of the equation. 80 + -80 + -0.07x = -417 + -80 Combine like terms: 80 + -80 = 0 0 + -0.07x = -417 + -80 -0.07x = -417 + -80 Combine like terms: -417 + -80 = -497 -0.07x = -497 Divide each side by '-0.07'. x = 7100 Simplifying x = 7100
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