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Simplifying 6 + 8(1 + -2x) = 82 6 + (1 * 8 + -2x * 8) = 82 6 + (8 + -16x) = 82 Combine like terms: 6 + 8 = 14 14 + -16x = 82 Solving 14 + -16x = 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 + -16x = 82 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = 82 + -14 -16x = 82 + -14 Combine like terms: 82 + -14 = 68 -16x = 68 Divide each side by '-16'. x = -4.25 Simplifying x = -4.25
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