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Simplifying 8 + x = 0.50(20 + x) 8 + x = (20 * 0.50 + x * 0.50) 8 + x = (10 + 0.50x) Solving 8 + x = 10 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 8 + x + -0.50x = 10 + 0.50x + -0.50x Combine like terms: x + -0.50x = 0.5x 8 + 0.5x = 10 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 8 + 0.5x = 10 + 0.00 8 + 0.5x = 10 Add '-8' to each side of the equation. 8 + -8 + 0.5x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 0.5x = 10 + -8 0.5x = 10 + -8 Combine like terms: 10 + -8 = 2 0.5x = 2 Divide each side by '0.5'. x = 4 Simplifying x = 4
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