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Simplifying 0.833x + -1.5 + 0.5x = 0.333x + 0.25 Reorder the terms: -1.5 + 0.833x + 0.5x = 0.333x + 0.25 Combine like terms: 0.833x + 0.5x = 1.333x -1.5 + 1.333x = 0.333x + 0.25 Reorder the terms: -1.5 + 1.333x = 0.25 + 0.333x Solving -1.5 + 1.333x = 0.25 + 0.333x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.333x' to each side of the equation. -1.5 + 1.333x + -0.333x = 0.25 + 0.333x + -0.333x Combine like terms: 1.333x + -0.333x = 1x -1.5 + 1x = 0.25 + 0.333x + -0.333x Combine like terms: 0.333x + -0.333x = 0.000 -1.5 + 1x = 0.25 + 0.000 -1.5 + 1x = 0.25 Add '1.5' to each side of the equation. -1.5 + 1.5 + 1x = 0.25 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1x = 0.25 + 1.5 1x = 0.25 + 1.5 Combine like terms: 0.25 + 1.5 = 1.75 1x = 1.75 Divide each side by '1'. x = 1.75 Simplifying x = 1.75
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