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Simplifying 2.5(12.75x + 24.50) = 188.75 Reorder the terms: 2.5(24.50 + 12.75x) = 188.75 (24.50 * 2.5 + 12.75x * 2.5) = 188.75 (61.25 + 31.875x) = 188.75 Solving 61.25 + 31.875x = 188.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61.25' to each side of the equation. 61.25 + -61.25 + 31.875x = 188.75 + -61.25 Combine like terms: 61.25 + -61.25 = 0.00 0.00 + 31.875x = 188.75 + -61.25 31.875x = 188.75 + -61.25 Combine like terms: 188.75 + -61.25 = 127.5 31.875x = 127.5 Divide each side by '31.875'. x = 4 Simplifying x = 4
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