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Simplifying 3x + 21x + -6 = 6(4x + 2) Reorder the terms: -6 + 3x + 21x = 6(4x + 2) Combine like terms: 3x + 21x = 24x -6 + 24x = 6(4x + 2) Reorder the terms: -6 + 24x = 6(2 + 4x) -6 + 24x = (2 * 6 + 4x * 6) -6 + 24x = (12 + 24x) Add '-24x' to each side of the equation. -6 + 24x + -24x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -6 + 0 = 12 + 24x + -24x -6 = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -6 = 12 + 0 -6 = 12 Solving -6 = 12 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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