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Simplifying 6(x + 6) + 7(8 + x) = 0 Reorder the terms: 6(6 + x) + 7(8 + x) = 0 (6 * 6 + x * 6) + 7(8 + x) = 0 (36 + 6x) + 7(8 + x) = 0 36 + 6x + (8 * 7 + x * 7) = 0 36 + 6x + (56 + 7x) = 0 Reorder the terms: 36 + 56 + 6x + 7x = 0 Combine like terms: 36 + 56 = 92 92 + 6x + 7x = 0 Combine like terms: 6x + 7x = 13x 92 + 13x = 0 Solving 92 + 13x = 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 + 13x = 0 + -92 Combine like terms: 92 + -92 = 0 0 + 13x = 0 + -92 13x = 0 + -92 Combine like terms: 0 + -92 = -92 13x = -92 Divide each side by '13'. x = -7.076923077 Simplifying x = -7.076923077
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