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Simplifying -3x + 2[4x + -1(6 + 8x)] = 0 -3x + 2[4x + (6 * -1 + 8x * -1)] = 0 -3x + 2[4x + (-6 + -8x)] = 0 Reorder the terms: -3x + 2[-6 + 4x + -8x] = 0 Combine like terms: 4x + -8x = -4x -3x + 2[-6 + -4x] = 0 -3x + [-6 * 2 + -4x * 2] = 0 -3x + [-12 + -8x] = 0 Reorder the terms: -12 + -3x + -8x = 0 Combine like terms: -3x + -8x = -11x -12 + -11x = 0 Solving -12 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -11x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = 0 + 12 -11x = 0 + 12 Combine like terms: 0 + 12 = 12 -11x = 12 Divide each side by '-11'. x = -1.090909091 Simplifying x = -1.090909091
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