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Simplifying -2(1 + -4x) + 2x = -82 (1 * -2 + -4x * -2) + 2x = -82 (-2 + 8x) + 2x = -82 Combine like terms: 8x + 2x = 10x -2 + 10x = -82 Solving -2 + 10x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 10x = -82 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -82 + 2 10x = -82 + 2 Combine like terms: -82 + 2 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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