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Simplifying 137 = 0.5(25 + x) 137 = (25 * 0.5 + x * 0.5) 137 = (12.5 + 0.5x) Solving 137 = 12.5 + 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. 137 + -0.5x = 12.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 137 + -0.5x = 12.5 + 0.0 137 + -0.5x = 12.5 Add '-137' to each side of the equation. 137 + -137 + -0.5x = 12.5 + -137 Combine like terms: 137 + -137 = 0 0 + -0.5x = 12.5 + -137 -0.5x = 12.5 + -137 Combine like terms: 12.5 + -137 = -124.5 -0.5x = -124.5 Divide each side by '-0.5'. x = 249 Simplifying x = 249
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