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Simplifying 0.6(x + 100) = 0.67x + -479 Reorder the terms: 0.6(100 + x) = 0.67x + -479 (100 * 0.6 + x * 0.6) = 0.67x + -479 (60 + 0.6x) = 0.67x + -479 Reorder the terms: 60 + 0.6x = -479 + 0.67x Solving 60 + 0.6x = -479 + 0.67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.67x' to each side of the equation. 60 + 0.6x + -0.67x = -479 + 0.67x + -0.67x Combine like terms: 0.6x + -0.67x = -0.07x 60 + -0.07x = -479 + 0.67x + -0.67x Combine like terms: 0.67x + -0.67x = 0.00 60 + -0.07x = -479 + 0.00 60 + -0.07x = -479 Add '-60' to each side of the equation. 60 + -60 + -0.07x = -479 + -60 Combine like terms: 60 + -60 = 0 0 + -0.07x = -479 + -60 -0.07x = -479 + -60 Combine like terms: -479 + -60 = -539 -0.07x = -539 Divide each side by '-0.07'. x = 7700 Simplifying x = 7700
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