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Simplifying 2.5 + -0.5x + 3 = 5 + 2.5 + -5x Reorder the terms: 2.5 + 3 + -0.5x = 5 + 2.5 + -5x Combine like terms: 2.5 + 3 = 5.5 5.5 + -0.5x = 5 + 2.5 + -5x Combine like terms: 5 + 2.5 = 7.5 5.5 + -0.5x = 7.5 + -5x Solving 5.5 + -0.5x = 7.5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5.5 + -0.5x + 5x = 7.5 + -5x + 5x Combine like terms: -0.5x + 5x = 4.5x 5.5 + 4.5x = 7.5 + -5x + 5x Combine like terms: -5x + 5x = 0 5.5 + 4.5x = 7.5 + 0 5.5 + 4.5x = 7.5 Add '-5.5' to each side of the equation. 5.5 + -5.5 + 4.5x = 7.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 4.5x = 7.5 + -5.5 4.5x = 7.5 + -5.5 Combine like terms: 7.5 + -5.5 = 2 4.5x = 2 Divide each side by '4.5'. x = 0.4444444444 Simplifying x = 0.4444444444
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