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Simplifying 20 + 0.5x = 100 + 0.25x Solving 20 + 0.5x = 100 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 20 + 0.5x + -0.25x = 100 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 20 + 0.25x = 100 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 20 + 0.25x = 100 + 0.00 20 + 0.25x = 100 Add '-20' to each side of the equation. 20 + -20 + 0.25x = 100 + -20 Combine like terms: 20 + -20 = 0 0 + 0.25x = 100 + -20 0.25x = 100 + -20 Combine like terms: 100 + -20 = 80 0.25x = 80 Divide each side by '0.25'. x = 320 Simplifying x = 320
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