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Simplifying 0.75x + -1.2 = 0.5x + -0.575 Reorder the terms: -1.2 + 0.75x = 0.5x + -0.575 Reorder the terms: -1.2 + 0.75x = -0.575 + 0.5x Solving -1.2 + 0.75x = -0.575 + 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. -1.2 + 0.75x + -0.5x = -0.575 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x -1.2 + 0.25x = -0.575 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1.2 + 0.25x = -0.575 + 0.0 -1.2 + 0.25x = -0.575 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.25x = -0.575 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.25x = -0.575 + 1.2 0.25x = -0.575 + 1.2 Combine like terms: -0.575 + 1.2 = 0.625 0.25x = 0.625 Divide each side by '0.25'. x = 2.5 Simplifying x = 2.5
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