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Simplifying 82 = -4 + -2(8x + 5) Reorder the terms: 82 = -4 + -2(5 + 8x) 82 = -4 + (5 * -2 + 8x * -2) 82 = -4 + (-10 + -16x) Combine like terms: -4 + -10 = -14 82 = -14 + -16x Solving 82 = -14 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 82 + 16x = -14 + -16x + 16x Combine like terms: -16x + 16x = 0 82 + 16x = -14 + 0 82 + 16x = -14 Add '-82' to each side of the equation. 82 + -82 + 16x = -14 + -82 Combine like terms: 82 + -82 = 0 0 + 16x = -14 + -82 16x = -14 + -82 Combine like terms: -14 + -82 = -96 16x = -96 Divide each side by '16'. x = -6 Simplifying x = -6
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