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Simplifying 2.5x + 5 = 0.5 + 0.5x Reorder the terms: 5 + 2.5x = 0.5 + 0.5x Solving 5 + 2.5x = 0.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 5 + 2.5x + -0.5x = 0.5 + 0.5x + -0.5x Combine like terms: 2.5x + -0.5x = 2x 5 + 2x = 0.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 2x = 0.5 + 0.0 5 + 2x = 0.5 Add '-5' to each side of the equation. 5 + -5 + 2x = 0.5 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0.5 + -5 2x = 0.5 + -5 Combine like terms: 0.5 + -5 = -4.5 2x = -4.5 Divide each side by '2'. x = -2.25 Simplifying x = -2.25
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