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Simplifying 0.25(3x + 1) + -0.625x = 0.5x Reorder the terms: 0.25(1 + 3x) + -0.625x = 0.5x (1 * 0.25 + 3x * 0.25) + -0.625x = 0.5x (0.25 + 0.75x) + -0.625x = 0.5x Combine like terms: 0.75x + -0.625x = 0.125x 0.25 + 0.125x = 0.5x Solving 0.25 + 0.125x = 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. 0.25 + 0.125x + -0.5x = 0.5x + -0.5x Combine like terms: 0.125x + -0.5x = -0.375x 0.25 + -0.375x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.25 + -0.375x = 0.0 Add '-0.25' to each side of the equation. 0.25 + -0.25 + -0.375x = 0.0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.375x = 0.0 + -0.25 -0.375x = 0.0 + -0.25 Combine like terms: 0.0 + -0.25 = -0.25 -0.375x = -0.25 Divide each side by '-0.375'. x = 0.6666666667 Simplifying x = 0.6666666667
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