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Simplifying 82 = -8 + 6(x + 7) Reorder the terms: 82 = -8 + 6(7 + x) 82 = -8 + (7 * 6 + x * 6) 82 = -8 + (42 + 6x) Combine like terms: -8 + 42 = 34 82 = 34 + 6x Solving 82 = 34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 82 + -6x = 34 + 6x + -6x Combine like terms: 6x + -6x = 0 82 + -6x = 34 + 0 82 + -6x = 34 Add '-82' to each side of the equation. 82 + -82 + -6x = 34 + -82 Combine like terms: 82 + -82 = 0 0 + -6x = 34 + -82 -6x = 34 + -82 Combine like terms: 34 + -82 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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