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Simplifying 6(3x + -6) = -6(k + 7) Reorder the terms: 6(-6 + 3x) = -6(k + 7) (-6 * 6 + 3x * 6) = -6(k + 7) (-36 + 18x) = -6(k + 7) Reorder the terms: -36 + 18x = -6(7 + k) -36 + 18x = (7 * -6 + k * -6) -36 + 18x = (-42 + -6k) Solving -36 + 18x = -42 + -6k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 18x = -42 + 36 + -6k Combine like terms: -36 + 36 = 0 0 + 18x = -42 + 36 + -6k 18x = -42 + 36 + -6k Combine like terms: -42 + 36 = -6 18x = -6 + -6k Divide each side by '18'. x = -0.3333333333 + -0.3333333333k Simplifying x = -0.3333333333 + -0.3333333333k
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