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Simplifying 8x + -2[2 + -1(8 + -2x)] = 0 8x + -2[2 + (8 * -1 + -2x * -1)] = 0 8x + -2[2 + (-8 + 2x)] = 0 Combine like terms: 2 + -8 = -6 8x + -2[-6 + 2x] = 0 8x + [-6 * -2 + 2x * -2] = 0 8x + [12 + -4x] = 0 Reorder the terms: 12 + 8x + -4x = 0 Combine like terms: 8x + -4x = 4x 12 + 4x = 0 Solving 12 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 0 + -12 4x = 0 + -12 Combine like terms: 0 + -12 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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