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Simplifying 18(x + -6) + 3x = 7(3x + 2) + -12 Reorder the terms: 18(-6 + x) + 3x = 7(3x + 2) + -12 (-6 * 18 + x * 18) + 3x = 7(3x + 2) + -12 (-108 + 18x) + 3x = 7(3x + 2) + -12 Combine like terms: 18x + 3x = 21x -108 + 21x = 7(3x + 2) + -12 Reorder the terms: -108 + 21x = 7(2 + 3x) + -12 -108 + 21x = (2 * 7 + 3x * 7) + -12 -108 + 21x = (14 + 21x) + -12 Reorder the terms: -108 + 21x = 14 + -12 + 21x Combine like terms: 14 + -12 = 2 -108 + 21x = 2 + 21x Add '-21x' to each side of the equation. -108 + 21x + -21x = 2 + 21x + -21x Combine like terms: 21x + -21x = 0 -108 + 0 = 2 + 21x + -21x -108 = 2 + 21x + -21x Combine like terms: 21x + -21x = 0 -108 = 2 + 0 -108 = 2 Solving -108 = 2 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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