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Simplifying 0.833x + 1 = 0.5x + 0.25 Reorder the terms: 1 + 0.833x = 0.5x + 0.25 Reorder the terms: 1 + 0.833x = 0.25 + 0.5x Solving 1 + 0.833x = 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. 1 + 0.833x + -0.5x = 0.25 + 0.5x + -0.5x Combine like terms: 0.833x + -0.5x = 0.333x 1 + 0.333x = 0.25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1 + 0.333x = 0.25 + 0.0 1 + 0.333x = 0.25 Add '-1' to each side of the equation. 1 + -1 + 0.333x = 0.25 + -1 Combine like terms: 1 + -1 = 0 0 + 0.333x = 0.25 + -1 0.333x = 0.25 + -1 Combine like terms: 0.25 + -1 = -0.75 0.333x = -0.75 Divide each side by '0.333'. x = -2.252252252 Simplifying x = -2.252252252
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