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Simplifying 12 + 2[6 + 7(x + 1)] = 0 Reorder the terms: 12 + 2[6 + 7(1 + x)] = 0 12 + 2[6 + (1 * 7 + x * 7)] = 0 12 + 2[6 + (7 + 7x)] = 0 Combine like terms: 6 + 7 = 13 12 + 2[13 + 7x] = 0 12 + [13 * 2 + 7x * 2] = 0 12 + [26 + 14x] = 0 Combine like terms: 12 + 26 = 38 38 + 14x = 0 Solving 38 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 14x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 14x = 0 + -38 14x = 0 + -38 Combine like terms: 0 + -38 = -38 14x = -38 Divide each side by '14'. x = -2.714285714 Simplifying x = -2.714285714
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