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Simplifying 0.75(x + -2) = 0.5x Reorder the terms: 0.75(-2 + x) = 0.5x (-2 * 0.75 + x * 0.75) = 0.5x (-1.5 + 0.75x) = 0.5x Solving -1.5 + 0.75x = 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. -1.5 + 0.75x + -0.5x = 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x -1.5 + 0.25x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1.5 + 0.25x = 0.0 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.25x = 0.0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.25x = 0.0 + 1.5 0.25x = 0.0 + 1.5 Combine like terms: 0.0 + 1.5 = 1.5 0.25x = 1.5 Divide each side by '0.25'. x = 6 Simplifying x = 6
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