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Simplifying -6 + 4x = -2(k + 4) + 8k Reorder the terms: -6 + 4x = -2(4 + k) + 8k -6 + 4x = (4 * -2 + k * -2) + 8k -6 + 4x = (-8 + -2k) + 8k Combine like terms: -2k + 8k = 6k -6 + 4x = -8 + 6k Solving -6 + 4x = -8 + 6k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4x = -8 + 6 + 6k Combine like terms: -6 + 6 = 0 0 + 4x = -8 + 6 + 6k 4x = -8 + 6 + 6k Combine like terms: -8 + 6 = -2 4x = -2 + 6k Divide each side by '4'. x = -0.5 + 1.5k Simplifying x = -0.5 + 1.5k
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