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Simplifying 21x + -6 + -18x + 4 = 13x + -7 + -10x + 14 Reorder the terms: -6 + 4 + 21x + -18x = 13x + -7 + -10x + 14 Combine like terms: -6 + 4 = -2 -2 + 21x + -18x = 13x + -7 + -10x + 14 Combine like terms: 21x + -18x = 3x -2 + 3x = 13x + -7 + -10x + 14 Reorder the terms: -2 + 3x = -7 + 14 + 13x + -10x Combine like terms: -7 + 14 = 7 -2 + 3x = 7 + 13x + -10x Combine like terms: 13x + -10x = 3x -2 + 3x = 7 + 3x Add '-3x' to each side of the equation. -2 + 3x + -3x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 0 = 7 + 3x + -3x -2 = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 = 7 + 0 -2 = 7 Solving -2 = 7 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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