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Simplifying 82 = 7 + 5(8 + -1x) 82 = 7 + (8 * 5 + -1x * 5) 82 = 7 + (40 + -5x) Combine like terms: 7 + 40 = 47 82 = 47 + -5x Solving 82 = 47 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 82 + 5x = 47 + -5x + 5x Combine like terms: -5x + 5x = 0 82 + 5x = 47 + 0 82 + 5x = 47 Add '-82' to each side of the equation. 82 + -82 + 5x = 47 + -82 Combine like terms: 82 + -82 = 0 0 + 5x = 47 + -82 5x = 47 + -82 Combine like terms: 47 + -82 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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