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Simplifying 12(x + -2) + 3x = 5(3x + 2) + -9 Reorder the terms: 12(-2 + x) + 3x = 5(3x + 2) + -9 (-2 * 12 + x * 12) + 3x = 5(3x + 2) + -9 (-24 + 12x) + 3x = 5(3x + 2) + -9 Combine like terms: 12x + 3x = 15x -24 + 15x = 5(3x + 2) + -9 Reorder the terms: -24 + 15x = 5(2 + 3x) + -9 -24 + 15x = (2 * 5 + 3x * 5) + -9 -24 + 15x = (10 + 15x) + -9 Reorder the terms: -24 + 15x = 10 + -9 + 15x Combine like terms: 10 + -9 = 1 -24 + 15x = 1 + 15x Add '-15x' to each side of the equation. -24 + 15x + -15x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 -24 + 0 = 1 + 15x + -15x -24 = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 -24 = 1 + 0 -24 = 1 Solving -24 = 1 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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