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Simplifying x + -1(0.75x + 1) = 1 Reorder the terms: x + -1(1 + 0.75x) = 1 x + (1 * -1 + 0.75x * -1) = 1 x + (-1 + -0.75x) = 1 Reorder the terms: -1 + x + -0.75x = 1 Combine like terms: x + -0.75x = 0.25x -1 + 0.25x = 1 Solving -1 + 0.25x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 0.25x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 0.25x = 1 + 1 0.25x = 1 + 1 Combine like terms: 1 + 1 = 2 0.25x = 2 Divide each side by '0.25'. x = 8 Simplifying x = 8
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