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Simplifying 0.5x + -0.5 = 0.75x + 1 + -1x Reorder the terms: -0.5 + 0.5x = 0.75x + 1 + -1x Reorder the terms: -0.5 + 0.5x = 1 + 0.75x + -1x Combine like terms: 0.75x + -1x = -0.25x -0.5 + 0.5x = 1 + -0.25x Solving -0.5 + 0.5x = 1 + -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. -0.5 + 0.5x + 0.25x = 1 + -0.25x + 0.25x Combine like terms: 0.5x + 0.25x = 0.75x -0.5 + 0.75x = 1 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 -0.5 + 0.75x = 1 + 0.00 -0.5 + 0.75x = 1 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.75x = 1 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.75x = 1 + 0.5 0.75x = 1 + 0.5 Combine like terms: 1 + 0.5 = 1.5 0.75x = 1.5 Divide each side by '0.75'. x = 2 Simplifying x = 2
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