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Simplifying -1[-8 + 2(1 + -4x)] = 1 + -7x -1[-8 + (1 * 2 + -4x * 2)] = 1 + -7x -1[-8 + (2 + -8x)] = 1 + -7x Combine like terms: -8 + 2 = -6 -1[-6 + -8x] = 1 + -7x [-6 * -1 + -8x * -1] = 1 + -7x [6 + 8x] = 1 + -7x Solving 6 + 8x = 1 + -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. 6 + 8x + 7x = 1 + -7x + 7x Combine like terms: 8x + 7x = 15x 6 + 15x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 15x = 1 + 0 6 + 15x = 1 Add '-6' to each side of the equation. 6 + -6 + 15x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 1 + -6 15x = 1 + -6 Combine like terms: 1 + -6 = -5 15x = -5 Divide each side by '15'. x = -0.3333333333 Simplifying x = -0.3333333333
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