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Simplifying 21x + -5 + -13x + 2 = 18x + -6 + -10x + 17 Reorder the terms: -5 + 2 + 21x + -13x = 18x + -6 + -10x + 17 Combine like terms: -5 + 2 = -3 -3 + 21x + -13x = 18x + -6 + -10x + 17 Combine like terms: 21x + -13x = 8x -3 + 8x = 18x + -6 + -10x + 17 Reorder the terms: -3 + 8x = -6 + 17 + 18x + -10x Combine like terms: -6 + 17 = 11 -3 + 8x = 11 + 18x + -10x Combine like terms: 18x + -10x = 8x -3 + 8x = 11 + 8x Add '-8x' to each side of the equation. -3 + 8x + -8x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 0 = 11 + 8x + -8x -3 = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 = 11 + 0 -3 = 11 Solving -3 = 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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