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Simplifying 5x + 3(x + -6) = -82 Reorder the terms: 5x + 3(-6 + x) = -82 5x + (-6 * 3 + x * 3) = -82 5x + (-18 + 3x) = -82 Reorder the terms: -18 + 5x + 3x = -82 Combine like terms: 5x + 3x = 8x -18 + 8x = -82 Solving -18 + 8x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8x = -82 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = -82 + 18 8x = -82 + 18 Combine like terms: -82 + 18 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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