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Simplifying 2[x + -1(1 + -3x)] = 2 + -4x 2[x + (1 * -1 + -3x * -1)] = 2 + -4x 2[x + (-1 + 3x)] = 2 + -4x Reorder the terms: 2[-1 + x + 3x] = 2 + -4x Combine like terms: x + 3x = 4x 2[-1 + 4x] = 2 + -4x [-1 * 2 + 4x * 2] = 2 + -4x [-2 + 8x] = 2 + -4x Solving -2 + 8x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 8x + 4x = 2 + -4x + 4x Combine like terms: 8x + 4x = 12x -2 + 12x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 12x = 2 + 0 -2 + 12x = 2 Add '2' to each side of the equation. -2 + 2 + 12x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 2 + 2 12x = 2 + 2 Combine like terms: 2 + 2 = 4 12x = 4 Divide each side by '12'. x = 0.3333333333 Simplifying x = 0.3333333333
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