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Simplifying 0.75x + -3 + 0.5x = 0.43x + 0.125 Reorder the terms: -3 + 0.75x + 0.5x = 0.43x + 0.125 Combine like terms: 0.75x + 0.5x = 1.25x -3 + 1.25x = 0.43x + 0.125 Reorder the terms: -3 + 1.25x = 0.125 + 0.43x Solving -3 + 1.25x = 0.125 + 0.43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.43x' to each side of the equation. -3 + 1.25x + -0.43x = 0.125 + 0.43x + -0.43x Combine like terms: 1.25x + -0.43x = 0.82x -3 + 0.82x = 0.125 + 0.43x + -0.43x Combine like terms: 0.43x + -0.43x = 0.00 -3 + 0.82x = 0.125 + 0.00 -3 + 0.82x = 0.125 Add '3' to each side of the equation. -3 + 3 + 0.82x = 0.125 + 3 Combine like terms: -3 + 3 = 0 0 + 0.82x = 0.125 + 3 0.82x = 0.125 + 3 Combine like terms: 0.125 + 3 = 3.125 0.82x = 3.125 Divide each side by '0.82'. x = 3.81097561 Simplifying x = 3.81097561
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