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Simplifying 2(3x + 1) = -2k + -6 Reorder the terms: 2(1 + 3x) = -2k + -6 (1 * 2 + 3x * 2) = -2k + -6 (2 + 6x) = -2k + -6 Reorder the terms: 2 + 6x = -6 + -2k Solving 2 + 6x = -6 + -2k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = -6 + -2 + -2k Combine like terms: 2 + -2 = 0 0 + 6x = -6 + -2 + -2k 6x = -6 + -2 + -2k Combine like terms: -6 + -2 = -8 6x = -8 + -2k Divide each side by '6'. x = -1.333333333 + -0.3333333333k Simplifying x = -1.333333333 + -0.3333333333k
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