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Simplifying 0.6(x + 300) = 0.67x + -338 Reorder the terms: 0.6(300 + x) = 0.67x + -338 (300 * 0.6 + x * 0.6) = 0.67x + -338 (180 + 0.6x) = 0.67x + -338 Reorder the terms: 180 + 0.6x = -338 + 0.67x Solving 180 + 0.6x = -338 + 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. 180 + 0.6x + -0.67x = -338 + 0.67x + -0.67x Combine like terms: 0.6x + -0.67x = -0.07x 180 + -0.07x = -338 + 0.67x + -0.67x Combine like terms: 0.67x + -0.67x = 0.00 180 + -0.07x = -338 + 0.00 180 + -0.07x = -338 Add '-180' to each side of the equation. 180 + -180 + -0.07x = -338 + -180 Combine like terms: 180 + -180 = 0 0 + -0.07x = -338 + -180 -0.07x = -338 + -180 Combine like terms: -338 + -180 = -518 -0.07x = -518 Divide each side by '-0.07'. x = 7400 Simplifying x = 7400
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