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Simplifying 0.5x + 0.75 = 2 + -3x Reorder the terms: 0.75 + 0.5x = 2 + -3x Solving 0.75 + 0.5x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 0.75 + 0.5x + 3x = 2 + -3x + 3x Combine like terms: 0.5x + 3x = 3.5x 0.75 + 3.5x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 0.75 + 3.5x = 2 + 0 0.75 + 3.5x = 2 Add '-0.75' to each side of the equation. 0.75 + -0.75 + 3.5x = 2 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 3.5x = 2 + -0.75 3.5x = 2 + -0.75 Combine like terms: 2 + -0.75 = 1.25 3.5x = 1.25 Divide each side by '3.5'. x = 0.3571428571 Simplifying x = 0.3571428571
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