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Simplifying 0.25x + -0.5 = 0.5x + -1 + -1x Reorder the terms: -0.5 + 0.25x = 0.5x + -1 + -1x Reorder the terms: -0.5 + 0.25x = -1 + 0.5x + -1x Combine like terms: 0.5x + -1x = -0.5x -0.5 + 0.25x = -1 + -0.5x Solving -0.5 + 0.25x = -1 + -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 + 0.25x + 0.5x = -1 + -0.5x + 0.5x Combine like terms: 0.25x + 0.5x = 0.75x -0.5 + 0.75x = -1 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -0.5 + 0.75x = -1 + 0.0 -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 = -0.5 0.75x = -0.5 Divide each side by '0.75'. x = -0.6666666667 Simplifying x = -0.6666666667
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