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Simplifying 1.75x + 3 = 4.5 + -0.25x Reorder the terms: 3 + 1.75x = 4.5 + -0.25x Solving 3 + 1.75x = 4.5 + -0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25x' to each side of the equation. 3 + 1.75x + 0.25x = 4.5 + -0.25x + 0.25x Combine like terms: 1.75x + 0.25x = 2x 3 + 2x = 4.5 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 3 + 2x = 4.5 + 0.00 3 + 2x = 4.5 Add '-3' to each side of the equation. 3 + -3 + 2x = 4.5 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 4.5 + -3 2x = 4.5 + -3 Combine like terms: 4.5 + -3 = 1.5 2x = 1.5 Divide each side by '2'. x = 0.75 Simplifying x = 0.75
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