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Simplifying 3x + -6[4x + 2(x + 1)] = -12 Reorder the terms: 3x + -6[4x + 2(1 + x)] = -12 3x + -6[4x + (1 * 2 + x * 2)] = -12 3x + -6[4x + (2 + 2x)] = -12 Reorder the terms: 3x + -6[2 + 4x + 2x] = -12 Combine like terms: 4x + 2x = 6x 3x + -6[2 + 6x] = -12 3x + [2 * -6 + 6x * -6] = -12 3x + [-12 + -36x] = -12 Reorder the terms: -12 + 3x + -36x = -12 Combine like terms: 3x + -36x = -33x -12 + -33x = -12 Add '12' to each side of the equation. -12 + 12 + -33x = -12 + 12 Combine like terms: -12 + 12 = 0 0 + -33x = -12 + 12 -33x = -12 + 12 Combine like terms: -12 + 12 = 0 -33x = 0 Solving -33x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-33'. x = 0 Simplifying x = 0
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