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Simplifying 3(2x + -2) = -2(4k + -11) Reorder the terms: 3(-2 + 2x) = -2(4k + -11) (-2 * 3 + 2x * 3) = -2(4k + -11) (-6 + 6x) = -2(4k + -11) Reorder the terms: -6 + 6x = -2(-11 + 4k) -6 + 6x = (-11 * -2 + 4k * -2) -6 + 6x = (22 + -8k) Solving -6 + 6x = 22 + -8k 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 + 6x = 22 + 6 + -8k Combine like terms: -6 + 6 = 0 0 + 6x = 22 + 6 + -8k 6x = 22 + 6 + -8k Combine like terms: 22 + 6 = 28 6x = 28 + -8k Divide each side by '6'. x = 4.666666667 + -1.333333333k Simplifying x = 4.666666667 + -1.333333333k
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