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Simplifying -82 = 2(1 + 6x) -82 = (1 * 2 + 6x * 2) -82 = (2 + 12x) Solving -82 = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -82 + -12x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -82 + -12x = 2 + 0 -82 + -12x = 2 Add '82' to each side of the equation. -82 + 82 + -12x = 2 + 82 Combine like terms: -82 + 82 = 0 0 + -12x = 2 + 82 -12x = 2 + 82 Combine like terms: 2 + 82 = 84 -12x = 84 Divide each side by '-12'. x = -7 Simplifying x = -7
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