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Simplifying -4(6 + -2x) + 6 = -82 (6 * -4 + -2x * -4) + 6 = -82 (-24 + 8x) + 6 = -82 Reorder the terms: -24 + 6 + 8x = -82 Combine like terms: -24 + 6 = -18 -18 + 8x = -82 Solving -18 + 8x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8x = -82 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = -82 + 18 8x = -82 + 18 Combine like terms: -82 + 18 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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