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Simplifying 21x + -8 + -13x + 2 = 20x + -9 + -12x + 17 Reorder the terms: -8 + 2 + 21x + -13x = 20x + -9 + -12x + 17 Combine like terms: -8 + 2 = -6 -6 + 21x + -13x = 20x + -9 + -12x + 17 Combine like terms: 21x + -13x = 8x -6 + 8x = 20x + -9 + -12x + 17 Reorder the terms: -6 + 8x = -9 + 17 + 20x + -12x Combine like terms: -9 + 17 = 8 -6 + 8x = 8 + 20x + -12x Combine like terms: 20x + -12x = 8x -6 + 8x = 8 + 8x Add '-8x' to each side of the equation. -6 + 8x + -8x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 0 = 8 + 8x + -8x -6 = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 = 8 + 0 -6 = 8 Solving -6 = 8 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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