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Simplifying -2(4x + -3) = -82 Reorder the terms: -2(-3 + 4x) = -82 (-3 * -2 + 4x * -2) = -82 (6 + -8x) = -82 Solving 6 + -8x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -8x = -82 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -82 + -6 -8x = -82 + -6 Combine like terms: -82 + -6 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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