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Simplifying 3x + -4[4 + -1(6 + -4x)] = 0 3x + -4[4 + (6 * -1 + -4x * -1)] = 0 3x + -4[4 + (-6 + 4x)] = 0 Combine like terms: 4 + -6 = -2 3x + -4[-2 + 4x] = 0 3x + [-2 * -4 + 4x * -4] = 0 3x + [8 + -16x] = 0 Reorder the terms: 8 + 3x + -16x = 0 Combine like terms: 3x + -16x = -13x 8 + -13x = 0 Solving 8 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -13x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = 0 + -8 -13x = 0 + -8 Combine like terms: 0 + -8 = -8 -13x = -8 Divide each side by '-13'. x = 0.6153846154 Simplifying x = 0.6153846154
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