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Simplifying 0.75x + 4.50 = 1.25x + 2.50 Reorder the terms: 4.50 + 0.75x = 1.25x + 2.50 Reorder the terms: 4.50 + 0.75x = 2.50 + 1.25x Solving 4.50 + 0.75x = 2.50 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 4.50 + 0.75x + -1.25x = 2.50 + 1.25x + -1.25x Combine like terms: 0.75x + -1.25x = -0.5x 4.50 + -0.5x = 2.50 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 4.50 + -0.5x = 2.50 + 0.00 4.50 + -0.5x = 2.50 Add '-4.50' to each side of the equation. 4.50 + -4.50 + -0.5x = 2.50 + -4.50 Combine like terms: 4.50 + -4.50 = 0.00 0.00 + -0.5x = 2.50 + -4.50 -0.5x = 2.50 + -4.50 Combine like terms: 2.50 + -4.50 = -2 -0.5x = -2 Divide each side by '-0.5'. x = 4 Simplifying x = 4
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