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Simplifying 2(3x + 5) + -8(4 + -3x) = -82 Reorder the terms: 2(5 + 3x) + -8(4 + -3x) = -82 (5 * 2 + 3x * 2) + -8(4 + -3x) = -82 (10 + 6x) + -8(4 + -3x) = -82 10 + 6x + (4 * -8 + -3x * -8) = -82 10 + 6x + (-32 + 24x) = -82 Reorder the terms: 10 + -32 + 6x + 24x = -82 Combine like terms: 10 + -32 = -22 -22 + 6x + 24x = -82 Combine like terms: 6x + 24x = 30x -22 + 30x = -82 Solving -22 + 30x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 30x = -82 + 22 Combine like terms: -22 + 22 = 0 0 + 30x = -82 + 22 30x = -82 + 22 Combine like terms: -82 + 22 = -60 30x = -60 Divide each side by '30'. x = -2 Simplifying x = -2
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