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Simplifying 3.50x + 5.50(542 + -1x) = 2267.00 3.50x + (542 * 5.50 + -1x * 5.50) = 2267.00 3.50x + (2981 + -5.5x) = 2267.00 Reorder the terms: 2981 + 3.50x + -5.5x = 2267.00 Combine like terms: 3.50x + -5.5x = -2x 2981 + -2x = 2267.00 Solving 2981 + -2x = 2267.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2981' to each side of the equation. 2981 + -2981 + -2x = 2267.00 + -2981 Combine like terms: 2981 + -2981 = 0 0 + -2x = 2267.00 + -2981 -2x = 2267.00 + -2981 Combine like terms: 2267.00 + -2981 = -714 -2x = -714 Divide each side by '-2'. x = 357 Simplifying x = 357
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