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Simplifying -4x + 2(5x + -6) = -3k + -39 Reorder the terms: -4x + 2(-6 + 5x) = -3k + -39 -4x + (-6 * 2 + 5x * 2) = -3k + -39 -4x + (-12 + 10x) = -3k + -39 Reorder the terms: -12 + -4x + 10x = -3k + -39 Combine like terms: -4x + 10x = 6x -12 + 6x = -3k + -39 Reorder the terms: -12 + 6x = -39 + -3k Solving -12 + 6x = -39 + -3k 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 + 6x = -39 + 12 + -3k Combine like terms: -12 + 12 = 0 0 + 6x = -39 + 12 + -3k 6x = -39 + 12 + -3k Combine like terms: -39 + 12 = -27 6x = -27 + -3k Divide each side by '6'. x = -4.5 + -0.5k Simplifying x = -4.5 + -0.5k
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