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Simplifying 2x + -1(-10x + 22) = -82 Reorder the terms: 2x + -1(22 + -10x) = -82 2x + (22 * -1 + -10x * -1) = -82 2x + (-22 + 10x) = -82 Reorder the terms: -22 + 2x + 10x = -82 Combine like terms: 2x + 10x = 12x -22 + 12x = -82 Solving -22 + 12x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 12x = -82 + 22 Combine like terms: -22 + 22 = 0 0 + 12x = -82 + 22 12x = -82 + 22 Combine like terms: -82 + 22 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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