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Simplifying -2(1 + 3x) = -1(3x + -1) (1 * -2 + 3x * -2) = -1(3x + -1) (-2 + -6x) = -1(3x + -1) Reorder the terms: -2 + -6x = -1(-1 + 3x) -2 + -6x = (-1 * -1 + 3x * -1) -2 + -6x = (1 + -3x) Solving -2 + -6x = 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. -2 + -6x + 3x = 1 + -3x + 3x Combine like terms: -6x + 3x = -3x -2 + -3x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + -3x = 1 + 0 -2 + -3x = 1 Add '2' to each side of the equation. -2 + 2 + -3x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 1 + 2 -3x = 1 + 2 Combine like terms: 1 + 2 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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