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Simplifying 3(x + -2) = 6(x + 3) + -3x + 12 Reorder the terms: 3(-2 + x) = 6(x + 3) + -3x + 12 (-2 * 3 + x * 3) = 6(x + 3) + -3x + 12 (-6 + 3x) = 6(x + 3) + -3x + 12 Reorder the terms: -6 + 3x = 6(3 + x) + -3x + 12 -6 + 3x = (3 * 6 + x * 6) + -3x + 12 -6 + 3x = (18 + 6x) + -3x + 12 Reorder the terms: -6 + 3x = 18 + 12 + 6x + -3x Combine like terms: 18 + 12 = 30 -6 + 3x = 30 + 6x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = 30 + 3x Add '-3x' to each side of the equation. -6 + 3x + -3x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 0 = 30 + 3x + -3x -6 = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 = 30 + 0 -6 = 30 Solving -6 = 30 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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