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Simplifying 2.25x + 400 = 1.75x + 600 Reorder the terms: 400 + 2.25x = 1.75x + 600 Reorder the terms: 400 + 2.25x = 600 + 1.75x Solving 400 + 2.25x = 600 + 1.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75x' to each side of the equation. 400 + 2.25x + -1.75x = 600 + 1.75x + -1.75x Combine like terms: 2.25x + -1.75x = 0.5x 400 + 0.5x = 600 + 1.75x + -1.75x Combine like terms: 1.75x + -1.75x = 0.00 400 + 0.5x = 600 + 0.00 400 + 0.5x = 600 Add '-400' to each side of the equation. 400 + -400 + 0.5x = 600 + -400 Combine like terms: 400 + -400 = 0 0 + 0.5x = 600 + -400 0.5x = 600 + -400 Combine like terms: 600 + -400 = 200 0.5x = 200 Divide each side by '0.5'. x = 400 Simplifying x = 400
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