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Simplifying -2(-7x + 1) + -2x = 82 Reorder the terms: -2(1 + -7x) + -2x = 82 (1 * -2 + -7x * -2) + -2x = 82 (-2 + 14x) + -2x = 82 Combine like terms: 14x + -2x = 12x -2 + 12x = 82 Solving -2 + 12x = 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 + 12x = 82 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 82 + 2 12x = 82 + 2 Combine like terms: 82 + 2 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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