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Simplifying 3.5 = 0.5(2.5 + x) 3.5 = (2.5 * 0.5 + x * 0.5) 3.5 = (1.25 + 0.5x) Solving 3.5 = 1.25 + 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. 3.5 + -0.5x = 1.25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3.5 + -0.5x = 1.25 + 0.0 3.5 + -0.5x = 1.25 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -0.5x = 1.25 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.5x = 1.25 + -3.5 -0.5x = 1.25 + -3.5 Combine like terms: 1.25 + -3.5 = -2.25 -0.5x = -2.25 Divide each side by '-0.5'. x = 4.5 Simplifying x = 4.5
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