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Simplifying 0.5x + 16 = 0.25x + 26 Reorder the terms: 16 + 0.5x = 0.25x + 26 Reorder the terms: 16 + 0.5x = 26 + 0.25x Solving 16 + 0.5x = 26 + 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. 16 + 0.5x + -0.25x = 26 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 16 + 0.25x = 26 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 16 + 0.25x = 26 + 0.00 16 + 0.25x = 26 Add '-16' to each side of the equation. 16 + -16 + 0.25x = 26 + -16 Combine like terms: 16 + -16 = 0 0 + 0.25x = 26 + -16 0.25x = 26 + -16 Combine like terms: 26 + -16 = 10 0.25x = 10 Divide each side by '0.25'. x = 40 Simplifying x = 40
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