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