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Simplifying 0.25x + -4 = 0.75x + 2 Reorder the terms: -4 + 0.25x = 0.75x + 2 Reorder the terms: -4 + 0.25x = 2 + 0.75x Solving -4 + 0.25x = 2 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -4 + 0.25x + -0.75x = 2 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x -4 + -0.5x = 2 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -4 + -0.5x = 2 + 0.00 -4 + -0.5x = 2 Add '4' to each side of the equation. -4 + 4 + -0.5x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -0.5x = 2 + 4 -0.5x = 2 + 4 Combine like terms: 2 + 4 = 6 -0.5x = 6 Divide each side by '-0.5'. x = -12 Simplifying x = -12
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