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Simplifying -82 = 3(1 + -3x) + -8x -82 = (1 * 3 + -3x * 3) + -8x -82 = (3 + -9x) + -8x Combine like terms: -9x + -8x = -17x -82 = 3 + -17x Solving -82 = 3 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -82 + 17x = 3 + -17x + 17x Combine like terms: -17x + 17x = 0 -82 + 17x = 3 + 0 -82 + 17x = 3 Add '82' to each side of the equation. -82 + 82 + 17x = 3 + 82 Combine like terms: -82 + 82 = 0 0 + 17x = 3 + 82 17x = 3 + 82 Combine like terms: 3 + 82 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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