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Simplifying 0.5x + 3.5 = 2.5x + 1 Reorder the terms: 3.5 + 0.5x = 2.5x + 1 Reorder the terms: 3.5 + 0.5x = 1 + 2.5x Solving 3.5 + 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. 3.5 + 0.5x + -2.5x = 1 + 2.5x + -2.5x Combine like terms: 0.5x + -2.5x = -2x 3.5 + -2x = 1 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 3.5 + -2x = 1 + 0.0 3.5 + -2x = 1 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -2x = 1 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -2x = 1 + -3.5 -2x = 1 + -3.5 Combine like terms: 1 + -3.5 = -2.5 -2x = -2.5 Divide each side by '-2'. x = 1.25 Simplifying x = 1.25
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