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Simplifying 12 + 2(2 + -4x) = -16 12 + (2 * 2 + -4x * 2) = -16 12 + (4 + -8x) = -16 Combine like terms: 12 + 4 = 16 16 + -8x = -16 Solving 16 + -8x = -16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -8x = -16 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = -16 + -16 -8x = -16 + -16 Combine like terms: -16 + -16 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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