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Simplifying 3(5x + -2) + -6x = 3(3x + 12) Reorder the terms: 3(-2 + 5x) + -6x = 3(3x + 12) (-2 * 3 + 5x * 3) + -6x = 3(3x + 12) (-6 + 15x) + -6x = 3(3x + 12) Combine like terms: 15x + -6x = 9x -6 + 9x = 3(3x + 12) Reorder the terms: -6 + 9x = 3(12 + 3x) -6 + 9x = (12 * 3 + 3x * 3) -6 + 9x = (36 + 9x) Add '-9x' to each side of the equation. -6 + 9x + -9x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 0 = 36 + 9x + -9x -6 = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 = 36 + 0 -6 = 36 Solving -6 = 36 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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