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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 = 6 4x + 2[6 + -2x] = 2x + -4 4x + [6 * 2 + -2x * 2] = 2x + -4 4x + [12 + -4x] = 2x + -4 Reorder the terms: 12 + 4x + -4x = 2x + -4 Combine like terms: 4x + -4x = 0 12 + 0 = 2x + -4 12 = 2x + -4 Reorder the terms: 12 = -4 + 2x Solving 12 = -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. 12 + -2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -2x = -4 + 0 12 + -2x = -4 Add '-12' to each side of the equation. 12 + -12 + -2x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -4 + -12 -2x = -4 + -12 Combine like terms: -4 + -12 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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