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Simplifying 0.75x + -0.5 = 0.5x + -0.25 Reorder the terms: -0.5 + 0.75x = 0.5x + -0.25 Reorder the terms: -0.5 + 0.75x = -0.25 + 0.5x Solving -0.5 + 0.75x = -0.25 + 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. -0.5 + 0.75x + -0.5x = -0.25 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x -0.5 + 0.25x = -0.25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.5 + 0.25x = -0.25 + 0.0 -0.5 + 0.25x = -0.25 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.25x = -0.25 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.25x = -0.25 + 0.5 0.25x = -0.25 + 0.5 Combine like terms: -0.25 + 0.5 = 0.25 0.25x = 0.25 Divide each side by '0.25'. x = 1 Simplifying x = 1
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