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Simplifying 2x + 2.5 + -0.5y = 5 Reorder the terms: 2.5 + 2x + -0.5y = 5 Solving 2.5 + 2x + -0.5y = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + 2x + -2.5 + -0.5y = 5 + -2.5 Reorder the terms: 2.5 + -2.5 + 2x + -0.5y = 5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 2x + -0.5y = 5 + -2.5 2x + -0.5y = 5 + -2.5 Combine like terms: 5 + -2.5 = 2.5 2x + -0.5y = 2.5 Add '0.5y' to each side of the equation. 2x + -0.5y + 0.5y = 2.5 + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 2x + 0.0 = 2.5 + 0.5y 2x = 2.5 + 0.5y Divide each side by '2'. x = 1.25 + 0.25y Simplifying x = 1.25 + 0.25y
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