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Simplifying 0.25x + -2 = 0.5x + 6 Reorder the terms: -2 + 0.25x = 0.5x + 6 Reorder the terms: -2 + 0.25x = 6 + 0.5x Solving -2 + 0.25x = 6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -2 + 0.25x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x -2 + -0.25x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -2 + -0.25x = 6 + 0.0 -2 + -0.25x = 6 Add '2' to each side of the equation. -2 + 2 + -0.25x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -0.25x = 6 + 2 -0.25x = 6 + 2 Combine like terms: 6 + 2 = 8 -0.25x = 8 Divide each side by '-0.25'. x = -32 Simplifying x = -32
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