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Simplifying -3[4 + 2(x + -1)] = 6 Reorder the terms: -3[4 + 2(-1 + x)] = 6 -3[4 + (-1 * 2 + x * 2)] = 6 -3[4 + (-2 + 2x)] = 6 Combine like terms: 4 + -2 = 2 -3[2 + 2x] = 6 [2 * -3 + 2x * -3] = 6 [-6 + -6x] = 6 Solving -6 + -6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 6 + 6 -6x = 6 + 6 Combine like terms: 6 + 6 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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