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