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Simplifying 5 + x = 0.5(50 + x) 5 + x = (50 * 0.5 + x * 0.5) 5 + x = (25 + 0.5x) Solving 5 + x = 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. 5 + x + -0.5x = 25 + 0.5x + -0.5x Combine like terms: x + -0.5x = 0.5x 5 + 0.5x = 25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 0.5x = 25 + 0.0 5 + 0.5x = 25 Add '-5' to each side of the equation. 5 + -5 + 0.5x = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5x = 25 + -5 0.5x = 25 + -5 Combine like terms: 25 + -5 = 20 0.5x = 20 Divide each side by '0.5'. x = 40 Simplifying x = 40
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