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Simplifying -2x + 4(2x + -13) = -82 Reorder the terms: -2x + 4(-13 + 2x) = -82 -2x + (-13 * 4 + 2x * 4) = -82 -2x + (-52 + 8x) = -82 Reorder the terms: -52 + -2x + 8x = -82 Combine like terms: -2x + 8x = 6x -52 + 6x = -82 Solving -52 + 6x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 6x = -82 + 52 Combine like terms: -52 + 52 = 0 0 + 6x = -82 + 52 6x = -82 + 52 Combine like terms: -82 + 52 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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