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