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Simplifying -2 + -4(2x + 4) = -82 Reorder the terms: -2 + -4(4 + 2x) = -82 -2 + (4 * -4 + 2x * -4) = -82 -2 + (-16 + -8x) = -82 Combine like terms: -2 + -16 = -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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