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Simplifying 12x + 2[6 + 7(x + 11)] = 0 Reorder the terms: 12x + 2[6 + 7(11 + x)] = 0 12x + 2[6 + (11 * 7 + x * 7)] = 0 12x + 2[6 + (77 + 7x)] = 0 Combine like terms: 6 + 77 = 83 12x + 2[83 + 7x] = 0 12x + [83 * 2 + 7x * 2] = 0 12x + [166 + 14x] = 0 Reorder the terms: 166 + 12x + 14x = 0 Combine like terms: 12x + 14x = 26x 166 + 26x = 0 Solving 166 + 26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-166' to each side of the equation. 166 + -166 + 26x = 0 + -166 Combine like terms: 166 + -166 = 0 0 + 26x = 0 + -166 26x = 0 + -166 Combine like terms: 0 + -166 = -166 26x = -166 Divide each side by '26'. x = -6.384615385 Simplifying x = -6.384615385
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