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Simplifying 12(x + -2) + 6x = 6(3x + 2) + -8 Reorder the terms: 12(-2 + x) + 6x = 6(3x + 2) + -8 (-2 * 12 + x * 12) + 6x = 6(3x + 2) + -8 (-24 + 12x) + 6x = 6(3x + 2) + -8 Combine like terms: 12x + 6x = 18x -24 + 18x = 6(3x + 2) + -8 Reorder the terms: -24 + 18x = 6(2 + 3x) + -8 -24 + 18x = (2 * 6 + 3x * 6) + -8 -24 + 18x = (12 + 18x) + -8 Reorder the terms: -24 + 18x = 12 + -8 + 18x Combine like terms: 12 + -8 = 4 -24 + 18x = 4 + 18x Add '-18x' to each side of the equation. -24 + 18x + -18x = 4 + 18x + -18x Combine like terms: 18x + -18x = 0 -24 + 0 = 4 + 18x + -18x -24 = 4 + 18x + -18x Combine like terms: 18x + -18x = 0 -24 = 4 + 0 -24 = 4 Solving -24 = 4 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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