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Simplifying 21x + -6 + -13x + 2 = 18x + -7 + -10x + 12 Reorder the terms: -6 + 2 + 21x + -13x = 18x + -7 + -10x + 12 Combine like terms: -6 + 2 = -4 -4 + 21x + -13x = 18x + -7 + -10x + 12 Combine like terms: 21x + -13x = 8x -4 + 8x = 18x + -7 + -10x + 12 Reorder the terms: -4 + 8x = -7 + 12 + 18x + -10x Combine like terms: -7 + 12 = 5 -4 + 8x = 5 + 18x + -10x Combine like terms: 18x + -10x = 8x -4 + 8x = 5 + 8x Add '-8x' to each side of the equation. -4 + 8x + -8x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 0 = 5 + 8x + -8x -4 = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 = 5 + 0 -4 = 5 Solving -4 = 5 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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