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Simplifying -1[x + -1(4x + 2)] = 1 + -1(3x + 8) Reorder the terms: -1[x + -1(2 + 4x)] = 1 + -1(3x + 8) -1[x + (2 * -1 + 4x * -1)] = 1 + -1(3x + 8) -1[x + (-2 + -4x)] = 1 + -1(3x + 8) Reorder the terms: -1[-2 + x + -4x] = 1 + -1(3x + 8) Combine like terms: x + -4x = -3x -1[-2 + -3x] = 1 + -1(3x + 8) [-2 * -1 + -3x * -1] = 1 + -1(3x + 8) [2 + 3x] = 1 + -1(3x + 8) Reorder the terms: 2 + 3x = 1 + -1(8 + 3x) 2 + 3x = 1 + (8 * -1 + 3x * -1) 2 + 3x = 1 + (-8 + -3x) Combine like terms: 1 + -8 = -7 2 + 3x = -7 + -3x Solving 2 + 3x = -7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 3x + 3x = -7 + -3x + 3x Combine like terms: 3x + 3x = 6x 2 + 6x = -7 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 6x = -7 + 0 2 + 6x = -7 Add '-2' to each side of the equation. 2 + -2 + 6x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -7 + -2 6x = -7 + -2 Combine like terms: -7 + -2 = -9 6x = -9 Divide each side by '6'. x = -1.5 Simplifying x = -1.5
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