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Simplifying 4x + -1(7 + K) = -1(6X + 7) 4x + (7 * -1 + K * -1) = -1(6X + 7) 4x + (-7 + -1K) = -1(6X + 7) Reorder the terms: -7 + -1K + 4x = -1(6X + 7) Reorder the terms: -7 + -1K + 4x = -1(7 + 6X) -7 + -1K + 4x = (7 * -1 + 6X * -1) -7 + -1K + 4x = (-7 + -6X) Add '7' to each side of the equation. -7 + -1K + 7 + 4x = -7 + 7 + -6X Reorder the terms: -7 + 7 + -1K + 4x = -7 + 7 + -6X Combine like terms: -7 + 7 = 0 0 + -1K + 4x = -7 + 7 + -6X -1K + 4x = -7 + 7 + -6X Combine like terms: -7 + 7 = 0 -1K + 4x = 0 + -6X -1K + 4x = -6X Solving -1K + 4x = -6X Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-4x' to each side of the equation. -1K + 4x + -4x = -6X + -4x Combine like terms: 4x + -4x = 0 -1K + 0 = -6X + -4x -1K = -6X + -4x Divide each side by '-1'. K = 6X + 4x Simplifying K = 6X + 4x
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