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Simplifying 2(3(x + 1) + 2) + 2 = 6 Reorder the terms: 2(3(1 + x) + 2) + 2 = 6 2((1 * 3 + x * 3) + 2) + 2 = 6 2((3 + 3x) + 2) + 2 = 6 Reorder the terms: 2(3 + 2 + 3x) + 2 = 6 Combine like terms: 3 + 2 = 5 2(5 + 3x) + 2 = 6 (5 * 2 + 3x * 2) + 2 = 6 (10 + 6x) + 2 = 6 Reorder the terms: 10 + 2 + 6x = 6 Combine like terms: 10 + 2 = 12 12 + 6x = 6 Solving 12 + 6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 6 + -12 6x = 6 + -12 Combine like terms: 6 + -12 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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