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Simplifying 0.5x + 320 = 0.75(400 + x) Reorder the terms: 320 + 0.5x = 0.75(400 + x) 320 + 0.5x = (400 * 0.75 + x * 0.75) 320 + 0.5x = (300 + 0.75x) Solving 320 + 0.5x = 300 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 320 + 0.5x + -0.75x = 300 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 320 + -0.25x = 300 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 320 + -0.25x = 300 + 0.00 320 + -0.25x = 300 Add '-320' to each side of the equation. 320 + -320 + -0.25x = 300 + -320 Combine like terms: 320 + -320 = 0 0 + -0.25x = 300 + -320 -0.25x = 300 + -320 Combine like terms: 300 + -320 = -20 -0.25x = -20 Divide each side by '-0.25'. x = 80 Simplifying x = 80
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