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Simplifying 0.333x + 0.5 = 0.25x + 1 Reorder the terms: 0.5 + 0.333x = 0.25x + 1 Reorder the terms: 0.5 + 0.333x = 1 + 0.25x Solving 0.5 + 0.333x = 1 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 0.5 + 0.333x + -0.25x = 1 + 0.25x + -0.25x Combine like terms: 0.333x + -0.25x = 0.083x 0.5 + 0.083x = 1 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.5 + 0.083x = 1 + 0.00 0.5 + 0.083x = 1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.083x = 1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.083x = 1 + -0.5 0.083x = 1 + -0.5 Combine like terms: 1 + -0.5 = 0.5 0.083x = 0.5 Divide each side by '0.083'. x = 6.024096386 Simplifying x = 6.024096386
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