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Simplifying 0.5x + -1 = 0.25x + 0.75 Reorder the terms: -1 + 0.5x = 0.25x + 0.75 Reorder the terms: -1 + 0.5x = 0.75 + 0.25x Solving -1 + 0.5x = 0.75 + 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 + 0.5x + -0.25x = 0.75 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x -1 + 0.25x = 0.75 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -1 + 0.25x = 0.75 + 0.00 -1 + 0.25x = 0.75 Add '1' to each side of the equation. -1 + 1 + 0.25x = 0.75 + 1 Combine like terms: -1 + 1 = 0 0 + 0.25x = 0.75 + 1 0.25x = 0.75 + 1 Combine like terms: 0.75 + 1 = 1.75 0.25x = 1.75 Divide each side by '0.25'. x = 7 Simplifying x = 7
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