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Simplifying 80 + x = 0.5(500 + x) 80 + x = (500 * 0.5 + x * 0.5) 80 + x = (250 + 0.5x) Solving 80 + x = 250 + 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. 80 + x + -0.5x = 250 + 0.5x + -0.5x Combine like terms: x + -0.5x = 0.5x 80 + 0.5x = 250 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 80 + 0.5x = 250 + 0.0 80 + 0.5x = 250 Add '-80' to each side of the equation. 80 + -80 + 0.5x = 250 + -80 Combine like terms: 80 + -80 = 0 0 + 0.5x = 250 + -80 0.5x = 250 + -80 Combine like terms: 250 + -80 = 170 0.5x = 170 Divide each side by '0.5'. x = 340 Simplifying x = 340
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