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