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Simplifying 6x + -3(x + 3) = 2(3x + -3) + -3(x + -4) Reorder the terms: 6x + -3(3 + x) = 2(3x + -3) + -3(x + -4) 6x + (3 * -3 + x * -3) = 2(3x + -3) + -3(x + -4) 6x + (-9 + -3x) = 2(3x + -3) + -3(x + -4) Reorder the terms: -9 + 6x + -3x = 2(3x + -3) + -3(x + -4) Combine like terms: 6x + -3x = 3x -9 + 3x = 2(3x + -3) + -3(x + -4) Reorder the terms: -9 + 3x = 2(-3 + 3x) + -3(x + -4) -9 + 3x = (-3 * 2 + 3x * 2) + -3(x + -4) -9 + 3x = (-6 + 6x) + -3(x + -4) Reorder the terms: -9 + 3x = -6 + 6x + -3(-4 + x) -9 + 3x = -6 + 6x + (-4 * -3 + x * -3) -9 + 3x = -6 + 6x + (12 + -3x) Reorder the terms: -9 + 3x = -6 + 12 + 6x + -3x Combine like terms: -6 + 12 = 6 -9 + 3x = 6 + 6x + -3x Combine like terms: 6x + -3x = 3x -9 + 3x = 6 + 3x Add '-3x' to each side of the equation. -9 + 3x + -3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 0 = 6 + 3x + -3x -9 = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 = 6 + 0 -9 = 6 Solving -9 = 6 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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