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Simplifying 3.75x + 55 = 2.50x + 75 Reorder the terms: 55 + 3.75x = 2.50x + 75 Reorder the terms: 55 + 3.75x = 75 + 2.50x Solving 55 + 3.75x = 75 + 2.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.50x' to each side of the equation. 55 + 3.75x + -2.50x = 75 + 2.50x + -2.50x Combine like terms: 3.75x + -2.50x = 1.25x 55 + 1.25x = 75 + 2.50x + -2.50x Combine like terms: 2.50x + -2.50x = 0.00 55 + 1.25x = 75 + 0.00 55 + 1.25x = 75 Add '-55' to each side of the equation. 55 + -55 + 1.25x = 75 + -55 Combine like terms: 55 + -55 = 0 0 + 1.25x = 75 + -55 1.25x = 75 + -55 Combine like terms: 75 + -55 = 20 1.25x = 20 Divide each side by '1.25'. x = 16 Simplifying x = 16
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