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Simplifying 0.5x + -4 + 0.75x = 0.5 + -0.25x Reorder the terms: -4 + 0.5x + 0.75x = 0.5 + -0.25x Combine like terms: 0.5x + 0.75x = 1.25x -4 + 1.25x = 0.5 + -0.25x Solving -4 + 1.25x = 0.5 + -0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25x' to each side of the equation. -4 + 1.25x + 0.25x = 0.5 + -0.25x + 0.25x Combine like terms: 1.25x + 0.25x = 1.5x -4 + 1.5x = 0.5 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 -4 + 1.5x = 0.5 + 0.00 -4 + 1.5x = 0.5 Add '4' to each side of the equation. -4 + 4 + 1.5x = 0.5 + 4 Combine like terms: -4 + 4 = 0 0 + 1.5x = 0.5 + 4 1.5x = 0.5 + 4 Combine like terms: 0.5 + 4 = 4.5 1.5x = 4.5 Divide each side by '1.5'. x = 3 Simplifying x = 3
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