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Simplifying 0.5x + 1 = 0.25x + 2 Reorder the terms: 1 + 0.5x = 0.25x + 2 Reorder the terms: 1 + 0.5x = 2 + 0.25x Solving 1 + 0.5x = 2 + 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. 1 + 0.5x + -0.25x = 2 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 1 + 0.25x = 2 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1 + 0.25x = 2 + 0.00 1 + 0.25x = 2 Add '-1' to each side of the equation. 1 + -1 + 0.25x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 0.25x = 2 + -1 0.25x = 2 + -1 Combine like terms: 2 + -1 = 1 0.25x = 1 Divide each side by '0.25'. x = 4 Simplifying x = 4
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