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Simplifying 2.50(x + 15) = 412.5 Reorder the terms: 2.50(15 + x) = 412.5 (15 * 2.50 + x * 2.50) = 412.5 (37.5 + 2.50x) = 412.5 Solving 37.5 + 2.50x = 412.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37.5' to each side of the equation. 37.5 + -37.5 + 2.50x = 412.5 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + 2.50x = 412.5 + -37.5 2.50x = 412.5 + -37.5 Combine like terms: 412.5 + -37.5 = 375 2.50x = 375 Divide each side by '2.50'. x = 150 Simplifying x = 150
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