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Simplifying 6(9x + -1) + -20 = 11(2k + -3) + 2 Reorder the terms: 6(-1 + 9x) + -20 = 11(2k + -3) + 2 (-1 * 6 + 9x * 6) + -20 = 11(2k + -3) + 2 (-6 + 54x) + -20 = 11(2k + -3) + 2 Reorder the terms: -6 + -20 + 54x = 11(2k + -3) + 2 Combine like terms: -6 + -20 = -26 -26 + 54x = 11(2k + -3) + 2 Reorder the terms: -26 + 54x = 11(-3 + 2k) + 2 -26 + 54x = (-3 * 11 + 2k * 11) + 2 -26 + 54x = (-33 + 22k) + 2 Reorder the terms: -26 + 54x = -33 + 2 + 22k Combine like terms: -33 + 2 = -31 -26 + 54x = -31 + 22k Solving -26 + 54x = -31 + 22k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 54x = -31 + 26 + 22k Combine like terms: -26 + 26 = 0 0 + 54x = -31 + 26 + 22k 54x = -31 + 26 + 22k Combine like terms: -31 + 26 = -5 54x = -5 + 22k Divide each side by '54'. x = -0.09259259259 + 0.4074074074k Simplifying x = -0.09259259259 + 0.4074074074k
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