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Simplifying 2.25x + 4.50 = 1.75x + 6 Reorder the terms: 4.50 + 2.25x = 1.75x + 6 Reorder the terms: 4.50 + 2.25x = 6 + 1.75x Solving 4.50 + 2.25x = 6 + 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. 4.50 + 2.25x + -1.75x = 6 + 1.75x + -1.75x Combine like terms: 2.25x + -1.75x = 0.5x 4.50 + 0.5x = 6 + 1.75x + -1.75x Combine like terms: 1.75x + -1.75x = 0.00 4.50 + 0.5x = 6 + 0.00 4.50 + 0.5x = 6 Add '-4.50' to each side of the equation. 4.50 + -4.50 + 0.5x = 6 + -4.50 Combine like terms: 4.50 + -4.50 = 0.00 0.00 + 0.5x = 6 + -4.50 0.5x = 6 + -4.50 Combine like terms: 6 + -4.50 = 1.5 0.5x = 1.5 Divide each side by '0.5'. x = 3 Simplifying x = 3
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