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Simplifying 0.5(x + 200) = 0.57x + -404 Reorder the terms: 0.5(200 + x) = 0.57x + -404 (200 * 0.5 + x * 0.5) = 0.57x + -404 (100 + 0.5x) = 0.57x + -404 Reorder the terms: 100 + 0.5x = -404 + 0.57x Solving 100 + 0.5x = -404 + 0.57x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.57x' to each side of the equation. 100 + 0.5x + -0.57x = -404 + 0.57x + -0.57x Combine like terms: 0.5x + -0.57x = -0.07x 100 + -0.07x = -404 + 0.57x + -0.57x Combine like terms: 0.57x + -0.57x = 0.00 100 + -0.07x = -404 + 0.00 100 + -0.07x = -404 Add '-100' to each side of the equation. 100 + -100 + -0.07x = -404 + -100 Combine like terms: 100 + -100 = 0 0 + -0.07x = -404 + -100 -0.07x = -404 + -100 Combine like terms: -404 + -100 = -504 -0.07x = -504 Divide each side by '-0.07'. x = 7200 Simplifying x = 7200
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