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Simplifying x * 0.5 = (x + -2) * 0.75 Reorder the terms for easier multiplication: 0.5x = (x + -2) * 0.75 Reorder the terms: 0.5x = (-2 + x) * 0.75 Reorder the terms for easier multiplication: 0.5x = 0.75(-2 + x) 0.5x = (-2 * 0.75 + x * 0.75) 0.5x = (-1.5 + 0.75x) Solving 0.5x = -1.5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 0.5x + -0.75x = -1.5 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x -0.25x = -1.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -0.25x = -1.5 + 0.00 -0.25x = -1.5 Divide each side by '-0.25'. x = 6 Simplifying x = 6
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