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Simplifying 0.125x + -0.375 = 0.5x + 0.25 Reorder the terms: -0.375 + 0.125x = 0.5x + 0.25 Reorder the terms: -0.375 + 0.125x = 0.25 + 0.5x Solving -0.375 + 0.125x = 0.25 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -0.375 + 0.125x + -0.5x = 0.25 + 0.5x + -0.5x Combine like terms: 0.125x + -0.5x = -0.375x -0.375 + -0.375x = 0.25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.375 + -0.375x = 0.25 + 0.0 -0.375 + -0.375x = 0.25 Add '0.375' to each side of the equation. -0.375 + 0.375 + -0.375x = 0.25 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + -0.375x = 0.25 + 0.375 -0.375x = 0.25 + 0.375 Combine like terms: 0.25 + 0.375 = 0.625 -0.375x = 0.625 Divide each side by '-0.375'. x = -1.666666667 Simplifying x = -1.666666667
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