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Simplifying 9 + 2(x + 7) + 7(9 + 2) = 0 Reorder the terms: 9 + 2(7 + x) + 7(9 + 2) = 0 9 + (7 * 2 + x * 2) + 7(9 + 2) = 0 9 + (14 + 2x) + 7(9 + 2) = 0 Combine like terms: 9 + 2 = 11 9 + 14 + 2x + 7(11) = 0 Multiply 7 * 11 9 + 14 + 2x + 77 = 0 Reorder the terms: 9 + 14 + 77 + 2x = 0 Combine like terms: 9 + 14 = 23 23 + 77 + 2x = 0 Combine like terms: 23 + 77 = 100 100 + 2x = 0 Solving 100 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 2x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 2x = 0 + -100 2x = 0 + -100 Combine like terms: 0 + -100 = -100 2x = -100 Divide each side by '2'. x = -50 Simplifying x = -50
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