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Simplifying 0.5x + 3 = 0.25x + 12 Reorder the terms: 3 + 0.5x = 0.25x + 12 Reorder the terms: 3 + 0.5x = 12 + 0.25x Solving 3 + 0.5x = 12 + 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. 3 + 0.5x + -0.25x = 12 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 3 + 0.25x = 12 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 3 + 0.25x = 12 + 0.00 3 + 0.25x = 12 Add '-3' to each side of the equation. 3 + -3 + 0.25x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 0.25x = 12 + -3 0.25x = 12 + -3 Combine like terms: 12 + -3 = 9 0.25x = 9 Divide each side by '0.25'. x = 36 Simplifying x = 36
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