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Simplifying 5.75x + 0.75 = 4.50x + 1 Reorder the terms: 0.75 + 5.75x = 4.50x + 1 Reorder the terms: 0.75 + 5.75x = 1 + 4.50x Solving 0.75 + 5.75x = 1 + 4.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.50x' to each side of the equation. 0.75 + 5.75x + -4.50x = 1 + 4.50x + -4.50x Combine like terms: 5.75x + -4.50x = 1.25x 0.75 + 1.25x = 1 + 4.50x + -4.50x Combine like terms: 4.50x + -4.50x = 0.00 0.75 + 1.25x = 1 + 0.00 0.75 + 1.25x = 1 Add '-0.75' to each side of the equation. 0.75 + -0.75 + 1.25x = 1 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 1.25x = 1 + -0.75 1.25x = 1 + -0.75 Combine like terms: 1 + -0.75 = 0.25 1.25x = 0.25 Divide each side by '1.25'. x = 0.2 Simplifying x = 0.2
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