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Simplifying 7(2k + -3) = -30 + 5x Reorder the terms: 7(-3 + 2k) = -30 + 5x (-3 * 7 + 2k * 7) = -30 + 5x (-21 + 14k) = -30 + 5x Solving -21 + 14k = -30 + 5x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 14k = -30 + 21 + 5x Combine like terms: -21 + 21 = 0 0 + 14k = -30 + 21 + 5x 14k = -30 + 21 + 5x Combine like terms: -30 + 21 = -9 14k = -9 + 5x Divide each side by '14'. k = -0.6428571429 + 0.3571428571x Simplifying k = -0.6428571429 + 0.3571428571x
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