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Simplifying -1[6x + -1(4x + 8)] = 9 + 6x + 3 Reorder the terms: -1[6x + -1(8 + 4x)] = 9 + 6x + 3 -1[6x + (8 * -1 + 4x * -1)] = 9 + 6x + 3 -1[6x + (-8 + -4x)] = 9 + 6x + 3 Reorder the terms: -1[-8 + 6x + -4x] = 9 + 6x + 3 Combine like terms: 6x + -4x = 2x -1[-8 + 2x] = 9 + 6x + 3 [-8 * -1 + 2x * -1] = 9 + 6x + 3 [8 + -2x] = 9 + 6x + 3 Reorder the terms: 8 + -2x = 9 + 3 + 6x Combine like terms: 9 + 3 = 12 8 + -2x = 12 + 6x Solving 8 + -2x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -2x + -6x = 12 + 6x + -6x Combine like terms: -2x + -6x = -8x 8 + -8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -8x = 12 + 0 8 + -8x = 12 Add '-8' to each side of the equation. 8 + -8 + -8x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 12 + -8 -8x = 12 + -8 Combine like terms: 12 + -8 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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