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Simplifying 0.5x + -4 + 0.75x = 0.5 + -0.5x Reorder the terms: -4 + 0.5x + 0.75x = 0.5 + -0.5x Combine like terms: 0.5x + 0.75x = 1.25x -4 + 1.25x = 0.5 + -0.5x Solving -4 + 1.25x = 0.5 + -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. -4 + 1.25x + 0.5x = 0.5 + -0.5x + 0.5x Combine like terms: 1.25x + 0.5x = 1.75x -4 + 1.75x = 0.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -4 + 1.75x = 0.5 + 0.0 -4 + 1.75x = 0.5 Add '4' to each side of the equation. -4 + 4 + 1.75x = 0.5 + 4 Combine like terms: -4 + 4 = 0 0 + 1.75x = 0.5 + 4 1.75x = 0.5 + 4 Combine like terms: 0.5 + 4 = 4.5 1.75x = 4.5 Divide each side by '1.75'. x = 2.571428571 Simplifying x = 2.571428571
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