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Simplifying 3x + 2(4x + (-3)) + (-5x) = 6x + (-9) 3x + 2(4x + -3) + (-5x) = 6x + (-9) Reorder the terms: 3x + 2(-3 + 4x) + (-5x) = 6x + (-9) 3x + (-3 * 2 + 4x * 2) + (-5x) = 6x + (-9) 3x + (-6 + 8x) + (-5x) = 6x + (-9) Reorder the terms: -6 + 3x + 8x + (-5x) = 6x + (-9) Combine like terms: 3x + 8x = 11x -6 + 11x + (-5x) = 6x + (-9) Combine like terms: 11x + (-5x) = 6x -6 + 6x = 6x + (-9) -6 + 6x = 6x + -9 Reorder the terms: -6 + 6x = -9 + 6x Add '-6x' to each side of the equation. -6 + 6x + -6x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 0 = -9 + 6x + -6x -6 = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 = -9 + 0 -6 = -9 Solving -6 = -9 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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