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Simplifying 1.75x + 1 = 0.25 + 0.25x Reorder the terms: 1 + 1.75x = 0.25 + 0.25x Solving 1 + 1.75x = 0.25 + 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. 1 + 1.75x + -0.25x = 0.25 + 0.25x + -0.25x Combine like terms: 1.75x + -0.25x = 1.5x 1 + 1.5x = 0.25 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1 + 1.5x = 0.25 + 0.00 1 + 1.5x = 0.25 Add '-1' to each side of the equation. 1 + -1 + 1.5x = 0.25 + -1 Combine like terms: 1 + -1 = 0 0 + 1.5x = 0.25 + -1 1.5x = 0.25 + -1 Combine like terms: 0.25 + -1 = -0.75 1.5x = -0.75 Divide each side by '1.5'. x = -0.5 Simplifying x = -0.5
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