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Simplifying 5x + -9 = 7x + 6 + -2k Reorder the terms: -9 + 5x = 7x + 6 + -2k Reorder the terms: -9 + 5x = 6 + -2k + 7x Solving -9 + 5x = 6 + -2k + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 5x + -7x = 6 + -2k + 7x + -7x Combine like terms: 5x + -7x = -2x -9 + -2x = 6 + -2k + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -2x = 6 + -2k + 0 -9 + -2x = 6 + -2k Add '9' to each side of the equation. -9 + 9 + -2x = 6 + 9 + -2k Combine like terms: -9 + 9 = 0 0 + -2x = 6 + 9 + -2k -2x = 6 + 9 + -2k Combine like terms: 6 + 9 = 15 -2x = 15 + -2k Divide each side by '-2'. x = -7.5 + k Simplifying x = -7.5 + k
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