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Simplifying 82 = -8 + -5(-2x + -8) Reorder the terms: 82 = -8 + -5(-8 + -2x) 82 = -8 + (-8 * -5 + -2x * -5) 82 = -8 + (40 + 10x) Combine like terms: -8 + 40 = 32 82 = 32 + 10x Solving 82 = 32 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 82 + -10x = 32 + 10x + -10x Combine like terms: 10x + -10x = 0 82 + -10x = 32 + 0 82 + -10x = 32 Add '-82' to each side of the equation. 82 + -82 + -10x = 32 + -82 Combine like terms: 82 + -82 = 0 0 + -10x = 32 + -82 -10x = 32 + -82 Combine like terms: 32 + -82 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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