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Simplifying 30x + 50(350 + -1x) = 11600 30x + (350 * 50 + -1x * 50) = 11600 30x + (17500 + -50x) = 11600 Reorder the terms: 17500 + 30x + -50x = 11600 Combine like terms: 30x + -50x = -20x 17500 + -20x = 11600 Solving 17500 + -20x = 11600 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17500' to each side of the equation. 17500 + -17500 + -20x = 11600 + -17500 Combine like terms: 17500 + -17500 = 0 0 + -20x = 11600 + -17500 -20x = 11600 + -17500 Combine like terms: 11600 + -17500 = -5900 -20x = -5900 Divide each side by '-20'. x = 295 Simplifying x = 295
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