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Simplifying -82 = -7 + -5(-7x + -6) Reorder the terms: -82 = -7 + -5(-6 + -7x) -82 = -7 + (-6 * -5 + -7x * -5) -82 = -7 + (30 + 35x) Combine like terms: -7 + 30 = 23 -82 = 23 + 35x Solving -82 = 23 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -82 + -35x = 23 + 35x + -35x Combine like terms: 35x + -35x = 0 -82 + -35x = 23 + 0 -82 + -35x = 23 Add '82' to each side of the equation. -82 + 82 + -35x = 23 + 82 Combine like terms: -82 + 82 = 0 0 + -35x = 23 + 82 -35x = 23 + 82 Combine like terms: 23 + 82 = 105 -35x = 105 Divide each side by '-35'. x = -3 Simplifying x = -3
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