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Simplifying 12x + 2[2 + 7(x + 1)] = 0 Reorder the terms: 12x + 2[2 + 7(1 + x)] = 0 12x + 2[2 + (1 * 7 + x * 7)] = 0 12x + 2[2 + (7 + 7x)] = 0 Combine like terms: 2 + 7 = 9 12x + 2[9 + 7x] = 0 12x + [9 * 2 + 7x * 2] = 0 12x + [18 + 14x] = 0 Reorder the terms: 18 + 12x + 14x = 0 Combine like terms: 12x + 14x = 26x 18 + 26x = 0 Solving 18 + 26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 26x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 26x = 0 + -18 26x = 0 + -18 Combine like terms: 0 + -18 = -18 26x = -18 Divide each side by '26'. x = -0.6923076923 Simplifying x = -0.6923076923
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