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Simplifying 0.6(x + 200) = 0.67x + -391 Reorder the terms: 0.6(200 + x) = 0.67x + -391 (200 * 0.6 + x * 0.6) = 0.67x + -391 (120 + 0.6x) = 0.67x + -391 Reorder the terms: 120 + 0.6x = -391 + 0.67x Solving 120 + 0.6x = -391 + 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. 120 + 0.6x + -0.67x = -391 + 0.67x + -0.67x Combine like terms: 0.6x + -0.67x = -0.07x 120 + -0.07x = -391 + 0.67x + -0.67x Combine like terms: 0.67x + -0.67x = 0.00 120 + -0.07x = -391 + 0.00 120 + -0.07x = -391 Add '-120' to each side of the equation. 120 + -120 + -0.07x = -391 + -120 Combine like terms: 120 + -120 = 0 0 + -0.07x = -391 + -120 -0.07x = -391 + -120 Combine like terms: -391 + -120 = -511 -0.07x = -511 Divide each side by '-0.07'. x = 7300 Simplifying x = 7300
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