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Simplifying 0.25x + 0.75 = 0.75x + -2.25 Reorder the terms: 0.75 + 0.25x = 0.75x + -2.25 Reorder the terms: 0.75 + 0.25x = -2.25 + 0.75x Solving 0.75 + 0.25x = -2.25 + 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. 0.75 + 0.25x + -0.75x = -2.25 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x 0.75 + -0.5x = -2.25 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 0.75 + -0.5x = -2.25 + 0.00 0.75 + -0.5x = -2.25 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.5x = -2.25 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.5x = -2.25 + -0.75 -0.5x = -2.25 + -0.75 Combine like terms: -2.25 + -0.75 = -3 -0.5x = -3 Divide each side by '-0.5'. x = 6 Simplifying x = 6
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