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Simplifying -2[1 + -5(1 + 4x)] = -108 + -10x -2[1 + (1 * -5 + 4x * -5)] = -108 + -10x -2[1 + (-5 + -20x)] = -108 + -10x Combine like terms: 1 + -5 = -4 -2[-4 + -20x] = -108 + -10x [-4 * -2 + -20x * -2] = -108 + -10x [8 + 40x] = -108 + -10x Solving 8 + 40x = -108 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8 + 40x + 10x = -108 + -10x + 10x Combine like terms: 40x + 10x = 50x 8 + 50x = -108 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 50x = -108 + 0 8 + 50x = -108 Add '-8' to each side of the equation. 8 + -8 + 50x = -108 + -8 Combine like terms: 8 + -8 = 0 0 + 50x = -108 + -8 50x = -108 + -8 Combine like terms: -108 + -8 = -116 50x = -116 Divide each side by '50'. x = -2.32 Simplifying x = -2.32
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