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Simplifying -6 + 2(-3x + 6) = -8 + -8x Reorder the terms: -6 + 2(6 + -3x) = -8 + -8x -6 + (6 * 2 + -3x * 2) = -8 + -8x -6 + (12 + -6x) = -8 + -8x Combine like terms: -6 + 12 = 6 6 + -6x = -8 + -8x Solving 6 + -6x = -8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + -6x + 8x = -8 + -8x + 8x Combine like terms: -6x + 8x = 2x 6 + 2x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 2x = -8 + 0 6 + 2x = -8 Add '-6' to each side of the equation. 6 + -6 + 2x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -8 + -6 2x = -8 + -6 Combine like terms: -8 + -6 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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