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Simplifying -9x + -1[2(1 + 3x) + 6] = 5x -9x + -1[(1 * 2 + 3x * 2) + 6] = 5x -9x + -1[(2 + 6x) + 6] = 5x Reorder the terms: -9x + -1[2 + 6 + 6x] = 5x Combine like terms: 2 + 6 = 8 -9x + -1[8 + 6x] = 5x -9x + [8 * -1 + 6x * -1] = 5x -9x + [-8 + -6x] = 5x Reorder the terms: -8 + -9x + -6x = 5x Combine like terms: -9x + -6x = -15x -8 + -15x = 5x Solving -8 + -15x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + -15x + -5x = 5x + -5x Combine like terms: -15x + -5x = -20x -8 + -20x = 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -20x = 0 Add '8' to each side of the equation. -8 + 8 + -20x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -20x = 0 + 8 -20x = 0 + 8 Combine like terms: 0 + 8 = 8 -20x = 8 Divide each side by '-20'. x = -0.4 Simplifying x = -0.4
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