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Simplifying 0.5x + 1.5x + -2 = 0.25x + 6 Reorder the terms: -2 + 0.5x + 1.5x = 0.25x + 6 Combine like terms: 0.5x + 1.5x = 2x -2 + 2x = 0.25x + 6 Reorder the terms: -2 + 2x = 6 + 0.25x Solving -2 + 2x = 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. -2 + 2x + -0.25x = 6 + 0.25x + -0.25x Combine like terms: 2x + -0.25x = 1.75x -2 + 1.75x = 6 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -2 + 1.75x = 6 + 0.00 -2 + 1.75x = 6 Add '2' to each side of the equation. -2 + 2 + 1.75x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1.75x = 6 + 2 1.75x = 6 + 2 Combine like terms: 6 + 2 = 8 1.75x = 8 Divide each side by '1.75'. x = 4.571428571 Simplifying x = 4.571428571
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