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Simplifying 4x + -4(1 + -1x) = -4x + -1(1 + -1x) 4x + (1 * -4 + -1x * -4) = -4x + -1(1 + -1x) 4x + (-4 + 4x) = -4x + -1(1 + -1x) Reorder the terms: -4 + 4x + 4x = -4x + -1(1 + -1x) Combine like terms: 4x + 4x = 8x -4 + 8x = -4x + -1(1 + -1x) -4 + 8x = -4x + (1 * -1 + -1x * -1) -4 + 8x = -4x + (-1 + 1x) Reorder the terms: -4 + 8x = -1 + -4x + 1x Combine like terms: -4x + 1x = -3x -4 + 8x = -1 + -3x Solving -4 + 8x = -1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + 8x + 3x = -1 + -3x + 3x Combine like terms: 8x + 3x = 11x -4 + 11x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 11x = -1 + 0 -4 + 11x = -1 Add '4' to each side of the equation. -4 + 4 + 11x = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = -1 + 4 11x = -1 + 4 Combine like terms: -1 + 4 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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