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Simplifying 82 = 3(-3x + 3) + 1 Reorder the terms: 82 = 3(3 + -3x) + 1 82 = (3 * 3 + -3x * 3) + 1 82 = (9 + -9x) + 1 Reorder the terms: 82 = 9 + 1 + -9x Combine like terms: 9 + 1 = 10 82 = 10 + -9x Solving 82 = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 82 + 9x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 82 + 9x = 10 + 0 82 + 9x = 10 Add '-82' to each side of the equation. 82 + -82 + 9x = 10 + -82 Combine like terms: 82 + -82 = 0 0 + 9x = 10 + -82 9x = 10 + -82 Combine like terms: 10 + -82 = -72 9x = -72 Divide each side by '9'. x = -8 Simplifying x = -8
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