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Simplifying -4(2 + -3x) = 4(1 + -2k) (2 * -4 + -3x * -4) = 4(1 + -2k) (-8 + 12x) = 4(1 + -2k) -8 + 12x = (1 * 4 + -2k * 4) -8 + 12x = (4 + -8k) Solving -8 + 12x = 4 + -8k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12x = 4 + 8 + -8k Combine like terms: -8 + 8 = 0 0 + 12x = 4 + 8 + -8k 12x = 4 + 8 + -8k Combine like terms: 4 + 8 = 12 12x = 12 + -8k Divide each side by '12'. x = 1 + -0.6666666667k Simplifying x = 1 + -0.6666666667k
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