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Simplifying -2(3 + -1x) = -1(x + 1) (3 * -2 + -1x * -2) = -1(x + 1) (-6 + 2x) = -1(x + 1) Reorder the terms: -6 + 2x = -1(1 + x) -6 + 2x = (1 * -1 + x * -1) -6 + 2x = (-1 + -1x) Solving -6 + 2x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 2x + x = -1 + -1x + x Combine like terms: 2x + x = 3x -6 + 3x = -1 + -1x + x Combine like terms: -1x + x = 0 -6 + 3x = -1 + 0 -6 + 3x = -1 Add '6' to each side of the equation. -6 + 6 + 3x = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -1 + 6 3x = -1 + 6 Combine like terms: -1 + 6 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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