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Simplifying x + 2.5 + -0.5x = 5 + -0.5x Reorder the terms: 2.5 + x + -0.5x = 5 + -0.5x Combine like terms: x + -0.5x = 0.5x 2.5 + 0.5x = 5 + -0.5x Solving 2.5 + 0.5x = 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. 2.5 + 0.5x + 0.5x = 5 + -0.5x + 0.5x Combine like terms: 0.5x + 0.5x = 1x 2.5 + 1x = 5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 2.5 + 1x = 5 + 0.0 2.5 + 1x = 5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1x = 5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1x = 5 + -2.5 1x = 5 + -2.5 Combine like terms: 5 + -2.5 = 2.5 1x = 2.5 Divide each side by '1'. x = 2.5 Simplifying x = 2.5
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