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Simplifying 5.50(75 + x) = 1100 (75 * 5.50 + x * 5.50) = 1100 (412.5 + 5.50x) = 1100 Solving 412.5 + 5.50x = 1100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-412.5' to each side of the equation. 412.5 + -412.5 + 5.50x = 1100 + -412.5 Combine like terms: 412.5 + -412.5 = 0.0 0.0 + 5.50x = 1100 + -412.5 5.50x = 1100 + -412.5 Combine like terms: 1100 + -412.5 = 687.5 5.50x = 687.5 Divide each side by '5.50'. x = 125 Simplifying x = 125
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