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Simplifying 2(3x + -1) = -2(3x + 3) + -8 Reorder the terms: 2(-1 + 3x) = -2(3x + 3) + -8 (-1 * 2 + 3x * 2) = -2(3x + 3) + -8 (-2 + 6x) = -2(3x + 3) + -8 Reorder the terms: -2 + 6x = -2(3 + 3x) + -8 -2 + 6x = (3 * -2 + 3x * -2) + -8 -2 + 6x = (-6 + -6x) + -8 Reorder the terms: -2 + 6x = -6 + -8 + -6x Combine like terms: -6 + -8 = -14 -2 + 6x = -14 + -6x Solving -2 + 6x = -14 + -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. -2 + 6x + 6x = -14 + -6x + 6x Combine like terms: 6x + 6x = 12x -2 + 12x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 12x = -14 + 0 -2 + 12x = -14 Add '2' to each side of the equation. -2 + 2 + 12x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = -14 + 2 12x = -14 + 2 Combine like terms: -14 + 2 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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