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Simplifying 2.5x + 0.5 = x + 3.5 Reorder the terms: 0.5 + 2.5x = x + 3.5 Reorder the terms: 0.5 + 2.5x = 3.5 + x Solving 0.5 + 2.5x = 3.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.5 + 2.5x + -1x = 3.5 + x + -1x Combine like terms: 2.5x + -1x = 1.5x 0.5 + 1.5x = 3.5 + x + -1x Combine like terms: x + -1x = 0 0.5 + 1.5x = 3.5 + 0 0.5 + 1.5x = 3.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.5x = 3.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.5x = 3.5 + -0.5 1.5x = 3.5 + -0.5 Combine like terms: 3.5 + -0.5 = 3 1.5x = 3 Divide each side by '1.5'. x = 2 Simplifying x = 2
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