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Simplifying 6x + 2(5x + -1) = -82 Reorder the terms: 6x + 2(-1 + 5x) = -82 6x + (-1 * 2 + 5x * 2) = -82 6x + (-2 + 10x) = -82 Reorder the terms: -2 + 6x + 10x = -82 Combine like terms: 6x + 10x = 16x -2 + 16x = -82 Solving -2 + 16x = -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 + 16x = -82 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = -82 + 2 16x = -82 + 2 Combine like terms: -82 + 2 = -80 16x = -80 Divide each side by '16'. x = -5 Simplifying x = -5
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