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Simplifying 6(3x + 6) + 7(8 + -1x) = 0 Reorder the terms: 6(6 + 3x) + 7(8 + -1x) = 0 (6 * 6 + 3x * 6) + 7(8 + -1x) = 0 (36 + 18x) + 7(8 + -1x) = 0 36 + 18x + (8 * 7 + -1x * 7) = 0 36 + 18x + (56 + -7x) = 0 Reorder the terms: 36 + 56 + 18x + -7x = 0 Combine like terms: 36 + 56 = 92 92 + 18x + -7x = 0 Combine like terms: 18x + -7x = 11x 92 + 11x = 0 Solving 92 + 11x = 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 + 11x = 0 + -92 Combine like terms: 92 + -92 = 0 0 + 11x = 0 + -92 11x = 0 + -92 Combine like terms: 0 + -92 = -92 11x = -92 Divide each side by '11'. x = -8.363636364 Simplifying x = -8.363636364
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