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Simplifying 21x + -5 + -16x + 2 = 17x + -9 + -12x + 15 Reorder the terms: -5 + 2 + 21x + -16x = 17x + -9 + -12x + 15 Combine like terms: -5 + 2 = -3 -3 + 21x + -16x = 17x + -9 + -12x + 15 Combine like terms: 21x + -16x = 5x -3 + 5x = 17x + -9 + -12x + 15 Reorder the terms: -3 + 5x = -9 + 15 + 17x + -12x Combine like terms: -9 + 15 = 6 -3 + 5x = 6 + 17x + -12x Combine like terms: 17x + -12x = 5x -3 + 5x = 6 + 5x Add '-5x' to each side of the equation. -3 + 5x + -5x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 0 = 6 + 5x + -5x -3 = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 = 6 + 0 -3 = 6 Solving -3 = 6 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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