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Simplifying -1(x + 1) = 2(1 + -3x) + -8 Reorder the terms: -1(1 + x) = 2(1 + -3x) + -8 (1 * -1 + x * -1) = 2(1 + -3x) + -8 (-1 + -1x) = 2(1 + -3x) + -8 -1 + -1x = (1 * 2 + -3x * 2) + -8 -1 + -1x = (2 + -6x) + -8 Reorder the terms: -1 + -1x = 2 + -8 + -6x Combine like terms: 2 + -8 = -6 -1 + -1x = -6 + -6x Solving -1 + -1x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -1 + -1x + 6x = -6 + -6x + 6x Combine like terms: -1x + 6x = 5x -1 + 5x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 5x = -6 + 0 -1 + 5x = -6 Add '1' to each side of the equation. -1 + 1 + 5x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = -6 + 1 5x = -6 + 1 Combine like terms: -6 + 1 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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