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Simplifying 0.25x + -3.09 = 0.75x + 8 Reorder the terms: -3.09 + 0.25x = 0.75x + 8 Reorder the terms: -3.09 + 0.25x = 8 + 0.75x Solving -3.09 + 0.25x = 8 + 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. -3.09 + 0.25x + -0.75x = 8 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x -3.09 + -0.5x = 8 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -3.09 + -0.5x = 8 + 0.00 -3.09 + -0.5x = 8 Add '3.09' to each side of the equation. -3.09 + 3.09 + -0.5x = 8 + 3.09 Combine like terms: -3.09 + 3.09 = 0.00 0.00 + -0.5x = 8 + 3.09 -0.5x = 8 + 3.09 Combine like terms: 8 + 3.09 = 11.09 -0.5x = 11.09 Divide each side by '-0.5'. x = -22.18 Simplifying x = -22.18
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