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Simplifying 0.25x + 0.5x + -2 = 0.125x + 3 Reorder the terms: -2 + 0.25x + 0.5x = 0.125x + 3 Combine like terms: 0.25x + 0.5x = 0.75x -2 + 0.75x = 0.125x + 3 Reorder the terms: -2 + 0.75x = 3 + 0.125x Solving -2 + 0.75x = 3 + 0.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.125x' to each side of the equation. -2 + 0.75x + -0.125x = 3 + 0.125x + -0.125x Combine like terms: 0.75x + -0.125x = 0.625x -2 + 0.625x = 3 + 0.125x + -0.125x Combine like terms: 0.125x + -0.125x = 0.000 -2 + 0.625x = 3 + 0.000 -2 + 0.625x = 3 Add '2' to each side of the equation. -2 + 2 + 0.625x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 0.625x = 3 + 2 0.625x = 3 + 2 Combine like terms: 3 + 2 = 5 0.625x = 5 Divide each side by '0.625'. x = 8 Simplifying x = 8
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