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Simplifying 21x + -6 + -12x + 4 = 23x + -7 + -14x + 11 Reorder the terms: -6 + 4 + 21x + -12x = 23x + -7 + -14x + 11 Combine like terms: -6 + 4 = -2 -2 + 21x + -12x = 23x + -7 + -14x + 11 Combine like terms: 21x + -12x = 9x -2 + 9x = 23x + -7 + -14x + 11 Reorder the terms: -2 + 9x = -7 + 11 + 23x + -14x Combine like terms: -7 + 11 = 4 -2 + 9x = 4 + 23x + -14x Combine like terms: 23x + -14x = 9x -2 + 9x = 4 + 9x Add '-9x' to each side of the equation. -2 + 9x + -9x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + 0 = 4 + 9x + -9x -2 = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 = 4 + 0 -2 = 4 Solving -2 = 4 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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