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Simplifying 0.5x + 0.25 = -0.75x + 4 Reorder the terms: 0.25 + 0.5x = -0.75x + 4 Reorder the terms: 0.25 + 0.5x = 4 + -0.75x Solving 0.25 + 0.5x = 4 + -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. 0.25 + 0.5x + 0.75x = 4 + -0.75x + 0.75x Combine like terms: 0.5x + 0.75x = 1.25x 0.25 + 1.25x = 4 + -0.75x + 0.75x Combine like terms: -0.75x + 0.75x = 0.00 0.25 + 1.25x = 4 + 0.00 0.25 + 1.25x = 4 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 1.25x = 4 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 1.25x = 4 + -0.25 1.25x = 4 + -0.25 Combine like terms: 4 + -0.25 = 3.75 1.25x = 3.75 Divide each side by '1.25'. x = 3 Simplifying x = 3
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