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Simplifying 3x + 1 = 0.5x + -1 + 0.25x Reorder the terms: 1 + 3x = 0.5x + -1 + 0.25x Reorder the terms: 1 + 3x = -1 + 0.5x + 0.25x Combine like terms: 0.5x + 0.25x = 0.75x 1 + 3x = -1 + 0.75x Solving 1 + 3x = -1 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 1 + 3x + -0.75x = -1 + 0.75x + -0.75x Combine like terms: 3x + -0.75x = 2.25x 1 + 2.25x = -1 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 1 + 2.25x = -1 + 0.00 1 + 2.25x = -1 Add '-1' to each side of the equation. 1 + -1 + 2.25x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 2.25x = -1 + -1 2.25x = -1 + -1 Combine like terms: -1 + -1 = -2 2.25x = -2 Divide each side by '2.25'. x = -0.8888888889 Simplifying x = -0.8888888889
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