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Simplifying 20x + -1(9x + -5) = 82 Reorder the terms: 20x + -1(-5 + 9x) = 82 20x + (-5 * -1 + 9x * -1) = 82 20x + (5 + -9x) = 82 Reorder the terms: 5 + 20x + -9x = 82 Combine like terms: 20x + -9x = 11x 5 + 11x = 82 Solving 5 + 11x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11x = 82 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 82 + -5 11x = 82 + -5 Combine like terms: 82 + -5 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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