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Simplifying 21x + -8 + -18x + 4 = 16x + -9 + -13x + 12 Reorder the terms: -8 + 4 + 21x + -18x = 16x + -9 + -13x + 12 Combine like terms: -8 + 4 = -4 -4 + 21x + -18x = 16x + -9 + -13x + 12 Combine like terms: 21x + -18x = 3x -4 + 3x = 16x + -9 + -13x + 12 Reorder the terms: -4 + 3x = -9 + 12 + 16x + -13x Combine like terms: -9 + 12 = 3 -4 + 3x = 3 + 16x + -13x Combine like terms: 16x + -13x = 3x -4 + 3x = 3 + 3x Add '-3x' to each side of the equation. -4 + 3x + -3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 0 = 3 + 3x + -3x -4 = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 = 3 + 0 -4 = 3 Solving -4 = 3 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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