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Simplifying 21x + -9 + -12x + 3 = 19x + -6 + -10x + 17 Reorder the terms: -9 + 3 + 21x + -12x = 19x + -6 + -10x + 17 Combine like terms: -9 + 3 = -6 -6 + 21x + -12x = 19x + -6 + -10x + 17 Combine like terms: 21x + -12x = 9x -6 + 9x = 19x + -6 + -10x + 17 Reorder the terms: -6 + 9x = -6 + 17 + 19x + -10x Combine like terms: -6 + 17 = 11 -6 + 9x = 11 + 19x + -10x Combine like terms: 19x + -10x = 9x -6 + 9x = 11 + 9x Add '-9x' to each side of the equation. -6 + 9x + -9x = 11 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 0 = 11 + 9x + -9x -6 = 11 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 = 11 + 0 -6 = 11 Solving -6 = 11 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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