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Simplifying 6(3x + 8) + 12 + 32 = 0 Reorder the terms: 6(8 + 3x) + 12 + 32 = 0 (8 * 6 + 3x * 6) + 12 + 32 = 0 (48 + 18x) + 12 + 32 = 0 Reorder the terms: 48 + 12 + 32 + 18x = 0 Combine like terms: 48 + 12 = 60 60 + 32 + 18x = 0 Combine like terms: 60 + 32 = 92 92 + 18x = 0 Solving 92 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + -92 + 18x = 0 + -92 Combine like terms: 92 + -92 = 0 0 + 18x = 0 + -92 18x = 0 + -92 Combine like terms: 0 + -92 = -92 18x = -92 Divide each side by '18'. x = -5.111111111 Simplifying x = -5.111111111
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