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Simplifying 21x + -9 + -17x + 2 = 14x + -4 + -10x + 12 Reorder the terms: -9 + 2 + 21x + -17x = 14x + -4 + -10x + 12 Combine like terms: -9 + 2 = -7 -7 + 21x + -17x = 14x + -4 + -10x + 12 Combine like terms: 21x + -17x = 4x -7 + 4x = 14x + -4 + -10x + 12 Reorder the terms: -7 + 4x = -4 + 12 + 14x + -10x Combine like terms: -4 + 12 = 8 -7 + 4x = 8 + 14x + -10x Combine like terms: 14x + -10x = 4x -7 + 4x = 8 + 4x Add '-4x' to each side of the equation. -7 + 4x + -4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 0 = 8 + 4x + -4x -7 = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 = 8 + 0 -7 = 8 Solving -7 = 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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