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Simplifying 7(2k + -11) = 4x + -9 + -1x Reorder the terms: 7(-11 + 2k) = 4x + -9 + -1x (-11 * 7 + 2k * 7) = 4x + -9 + -1x (-77 + 14k) = 4x + -9 + -1x Reorder the terms: -77 + 14k = -9 + 4x + -1x Combine like terms: 4x + -1x = 3x -77 + 14k = -9 + 3x Solving -77 + 14k = -9 + 3x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 14k = -9 + 77 + 3x Combine like terms: -77 + 77 = 0 0 + 14k = -9 + 77 + 3x 14k = -9 + 77 + 3x Combine like terms: -9 + 77 = 68 14k = 68 + 3x Divide each side by '14'. k = 4.857142857 + 0.2142857143x Simplifying k = 4.857142857 + 0.2142857143x
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