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Simplifying -3x + 2[3(x + 2) + 4] = 0 Reorder the terms: -3x + 2[3(2 + x) + 4] = 0 -3x + 2[(2 * 3 + x * 3) + 4] = 0 -3x + 2[(6 + 3x) + 4] = 0 Reorder the terms: -3x + 2[6 + 4 + 3x] = 0 Combine like terms: 6 + 4 = 10 -3x + 2[10 + 3x] = 0 -3x + [10 * 2 + 3x * 2] = 0 -3x + [20 + 6x] = 0 Reorder the terms: 20 + -3x + 6x = 0 Combine like terms: -3x + 6x = 3x 20 + 3x = 0 Solving 20 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 0 + -20 3x = 0 + -20 Combine like terms: 0 + -20 = -20 3x = -20 Divide each side by '3'. x = -6.666666667 Simplifying x = -6.666666667
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