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Simplifying 0.25(x + -1) = 0.75(1 + x) Reorder the terms: 0.25(-1 + x) = 0.75(1 + x) (-1 * 0.25 + x * 0.25) = 0.75(1 + x) (-0.25 + 0.25x) = 0.75(1 + x) -0.25 + 0.25x = (1 * 0.75 + x * 0.75) -0.25 + 0.25x = (0.75 + 0.75x) Solving -0.25 + 0.25x = 0.75 + 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. -0.25 + 0.25x + -0.75x = 0.75 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x -0.25 + -0.5x = 0.75 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -0.25 + -0.5x = 0.75 + 0.00 -0.25 + -0.5x = 0.75 Add '0.25' to each side of the equation. -0.25 + 0.25 + -0.5x = 0.75 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -0.5x = 0.75 + 0.25 -0.5x = 0.75 + 0.25 Combine like terms: 0.75 + 0.25 = 1 -0.5x = 1 Divide each side by '-0.5'. x = -2 Simplifying x = -2
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