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Simplifying 0.5x + 1.5 = 1 + 2.5x Reorder the terms: 1.5 + 0.5x = 1 + 2.5x Solving 1.5 + 0.5x = 1 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 1.5 + 0.5x + -2.5x = 1 + 2.5x + -2.5x Combine like terms: 0.5x + -2.5x = -2x 1.5 + -2x = 1 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 1.5 + -2x = 1 + 0.0 1.5 + -2x = 1 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -2x = 1 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -2x = 1 + -1.5 -2x = 1 + -1.5 Combine like terms: 1 + -1.5 = -0.5 -2x = -0.5 Divide each side by '-2'. x = 0.25 Simplifying x = 0.25
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