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Simplifying 100x + 50(40 + -1x) = 2750 100x + (40 * 50 + -1x * 50) = 2750 100x + (2000 + -50x) = 2750 Reorder the terms: 2000 + 100x + -50x = 2750 Combine like terms: 100x + -50x = 50x 2000 + 50x = 2750 Solving 2000 + 50x = 2750 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2000' to each side of the equation. 2000 + -2000 + 50x = 2750 + -2000 Combine like terms: 2000 + -2000 = 0 0 + 50x = 2750 + -2000 50x = 2750 + -2000 Combine like terms: 2750 + -2000 = 750 50x = 750 Divide each side by '50'. x = 15 Simplifying x = 15
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