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Simplifying 21x + -9 + -15x + 2 = 18x + -7 + -12x + 12 Reorder the terms: -9 + 2 + 21x + -15x = 18x + -7 + -12x + 12 Combine like terms: -9 + 2 = -7 -7 + 21x + -15x = 18x + -7 + -12x + 12 Combine like terms: 21x + -15x = 6x -7 + 6x = 18x + -7 + -12x + 12 Reorder the terms: -7 + 6x = -7 + 12 + 18x + -12x Combine like terms: -7 + 12 = 5 -7 + 6x = 5 + 18x + -12x Combine like terms: 18x + -12x = 6x -7 + 6x = 5 + 6x Add '-6x' to each side of the equation. -7 + 6x + -6x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 0 = 5 + 6x + -6x -7 = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 = 5 + 0 -7 = 5 Solving -7 = 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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