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Simplifying 21x + -7 + -12x + 2 = 23x + -8 + -14x + 12 Reorder the terms: -7 + 2 + 21x + -12x = 23x + -8 + -14x + 12 Combine like terms: -7 + 2 = -5 -5 + 21x + -12x = 23x + -8 + -14x + 12 Combine like terms: 21x + -12x = 9x -5 + 9x = 23x + -8 + -14x + 12 Reorder the terms: -5 + 9x = -8 + 12 + 23x + -14x Combine like terms: -8 + 12 = 4 -5 + 9x = 4 + 23x + -14x Combine like terms: 23x + -14x = 9x -5 + 9x = 4 + 9x Add '-9x' to each side of the equation. -5 + 9x + -9x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 0 = 4 + 9x + -9x -5 = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 = 4 + 0 -5 = 4 Solving -5 = 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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