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Simplifying 0.25x + 0.333 = 5x + -0.5 Reorder the terms: 0.333 + 0.25x = 5x + -0.5 Reorder the terms: 0.333 + 0.25x = -0.5 + 5x Solving 0.333 + 0.25x = -0.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.333 + 0.25x + -5x = -0.5 + 5x + -5x Combine like terms: 0.25x + -5x = -4.75x 0.333 + -4.75x = -0.5 + 5x + -5x Combine like terms: 5x + -5x = 0 0.333 + -4.75x = -0.5 + 0 0.333 + -4.75x = -0.5 Add '-0.333' to each side of the equation. 0.333 + -0.333 + -4.75x = -0.5 + -0.333 Combine like terms: 0.333 + -0.333 = 0.000 0.000 + -4.75x = -0.5 + -0.333 -4.75x = -0.5 + -0.333 Combine like terms: -0.5 + -0.333 = -0.833 -4.75x = -0.833 Divide each side by '-4.75'. x = 0.1753684211 Simplifying x = 0.1753684211
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