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Simplifying 2x + -0.5 = 0.25x + 4 Reorder the terms: -0.5 + 2x = 0.25x + 4 Reorder the terms: -0.5 + 2x = 4 + 0.25x Solving -0.5 + 2x = 4 + 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. -0.5 + 2x + -0.25x = 4 + 0.25x + -0.25x Combine like terms: 2x + -0.25x = 1.75x -0.5 + 1.75x = 4 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -0.5 + 1.75x = 4 + 0.00 -0.5 + 1.75x = 4 Add '0.5' to each side of the equation. -0.5 + 0.5 + 1.75x = 4 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1.75x = 4 + 0.5 1.75x = 4 + 0.5 Combine like terms: 4 + 0.5 = 4.5 1.75x = 4.5 Divide each side by '1.75'. x = 2.571428571 Simplifying x = 2.571428571
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