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Simplifying 4x + [6x + -1(x + -8)] = 12x + (-5x + -9) + -11 Reorder the terms: 4x + [6x + -1(-8 + x)] = 12x + (-5x + -9) + -11 4x + [6x + (-8 * -1 + x * -1)] = 12x + (-5x + -9) + -11 4x + [6x + (8 + -1x)] = 12x + (-5x + -9) + -11 Reorder the terms: 4x + [8 + 6x + -1x] = 12x + (-5x + -9) + -11 Combine like terms: 6x + -1x = 5x 4x + [8 + 5x] = 12x + (-5x + -9) + -11 Remove brackets around [8 + 5x] 4x + 8 + 5x = 12x + (-5x + -9) + -11 Reorder the terms: 8 + 4x + 5x = 12x + (-5x + -9) + -11 Combine like terms: 4x + 5x = 9x 8 + 9x = 12x + (-5x + -9) + -11 Reorder the terms: 8 + 9x = 12x + (-9 + -5x) + -11 Remove parenthesis around (-9 + -5x) 8 + 9x = 12x + -9 + -5x + -11 Reorder the terms: 8 + 9x = -9 + -11 + 12x + -5x Combine like terms: -9 + -11 = -20 8 + 9x = -20 + 12x + -5x Combine like terms: 12x + -5x = 7x 8 + 9x = -20 + 7x Solving 8 + 9x = -20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 9x + -7x = -20 + 7x + -7x Combine like terms: 9x + -7x = 2x 8 + 2x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 2x = -20 + 0 8 + 2x = -20 Add '-8' to each side of the equation. 8 + -8 + 2x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -20 + -8 2x = -20 + -8 Combine like terms: -20 + -8 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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