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Simplifying 2[3x + -3(2x + 4)] = 6 Reorder the terms: 2[3x + -3(4 + 2x)] = 6 2[3x + (4 * -3 + 2x * -3)] = 6 2[3x + (-12 + -6x)] = 6 Reorder the terms: 2[-12 + 3x + -6x] = 6 Combine like terms: 3x + -6x = -3x 2[-12 + -3x] = 6 [-12 * 2 + -3x * 2] = 6 [-24 + -6x] = 6 Solving -24 + -6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -6x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 6 + 24 -6x = 6 + 24 Combine like terms: 6 + 24 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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