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Simplifying 0.5x + 4 = 0.25x + 6 Reorder the terms: 4 + 0.5x = 0.25x + 6 Reorder the terms: 4 + 0.5x = 6 + 0.25x Solving 4 + 0.5x = 6 + 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. 4 + 0.5x + -0.25x = 6 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 4 + 0.25x = 6 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 4 + 0.25x = 6 + 0.00 4 + 0.25x = 6 Add '-4' to each side of the equation. 4 + -4 + 0.25x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 0.25x = 6 + -4 0.25x = 6 + -4 Combine like terms: 6 + -4 = 2 0.25x = 2 Divide each side by '0.25'. x = 8 Simplifying x = 8
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