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Simplifying 0.5x + 8 = 0.25x + 13 Reorder the terms: 8 + 0.5x = 0.25x + 13 Reorder the terms: 8 + 0.5x = 13 + 0.25x Solving 8 + 0.5x = 13 + 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. 8 + 0.5x + -0.25x = 13 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 8 + 0.25x = 13 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 8 + 0.25x = 13 + 0.00 8 + 0.25x = 13 Add '-8' to each side of the equation. 8 + -8 + 0.25x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 0.25x = 13 + -8 0.25x = 13 + -8 Combine like terms: 13 + -8 = 5 0.25x = 5 Divide each side by '0.25'. x = 20 Simplifying x = 20
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