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Simplifying 0.75x + -3 = 0.50x + 2 Reorder the terms: -3 + 0.75x = 0.50x + 2 Reorder the terms: -3 + 0.75x = 2 + 0.50x Solving -3 + 0.75x = 2 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. -3 + 0.75x + -0.50x = 2 + 0.50x + -0.50x Combine like terms: 0.75x + -0.50x = 0.25x -3 + 0.25x = 2 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 -3 + 0.25x = 2 + 0.00 -3 + 0.25x = 2 Add '3' to each side of the equation. -3 + 3 + 0.25x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 0.25x = 2 + 3 0.25x = 2 + 3 Combine like terms: 2 + 3 = 5 0.25x = 5 Divide each side by '0.25'. x = 20 Simplifying x = 20
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