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Simplifying 6 + 8(1 + 6x) = -82 6 + (1 * 8 + 6x * 8) = -82 6 + (8 + 48x) = -82 Combine like terms: 6 + 8 = 14 14 + 48x = -82 Solving 14 + 48x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 48x = -82 + -14 Combine like terms: 14 + -14 = 0 0 + 48x = -82 + -14 48x = -82 + -14 Combine like terms: -82 + -14 = -96 48x = -96 Divide each side by '48'. x = -2 Simplifying x = -2
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