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Simplifying 6 + 3[2x + -4(3x + -2)] = 0 Reorder the terms: 6 + 3[2x + -4(-2 + 3x)] = 0 6 + 3[2x + (-2 * -4 + 3x * -4)] = 0 6 + 3[2x + (8 + -12x)] = 0 Reorder the terms: 6 + 3[8 + 2x + -12x] = 0 Combine like terms: 2x + -12x = -10x 6 + 3[8 + -10x] = 0 6 + [8 * 3 + -10x * 3] = 0 6 + [24 + -30x] = 0 Combine like terms: 6 + 24 = 30 30 + -30x = 0 Solving 30 + -30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -30x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -30x = 0 + -30 -30x = 0 + -30 Combine like terms: 0 + -30 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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