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Simplifying 0.75(x + -2) + 0.25x = 0.5 Reorder the terms: 0.75(-2 + x) + 0.25x = 0.5 (-2 * 0.75 + x * 0.75) + 0.25x = 0.5 (-1.5 + 0.75x) + 0.25x = 0.5 Combine like terms: 0.75x + 0.25x = 1x -1.5 + 1x = 0.5 Solving -1.5 + 1x = 0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + 1x = 0.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1x = 0.5 + 1.5 1x = 0.5 + 1.5 Combine like terms: 0.5 + 1.5 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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