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Simplifying 9(x + -3) + 6x = 5(3x + 2) + -9 Reorder the terms: 9(-3 + x) + 6x = 5(3x + 2) + -9 (-3 * 9 + x * 9) + 6x = 5(3x + 2) + -9 (-27 + 9x) + 6x = 5(3x + 2) + -9 Combine like terms: 9x + 6x = 15x -27 + 15x = 5(3x + 2) + -9 Reorder the terms: -27 + 15x = 5(2 + 3x) + -9 -27 + 15x = (2 * 5 + 3x * 5) + -9 -27 + 15x = (10 + 15x) + -9 Reorder the terms: -27 + 15x = 10 + -9 + 15x Combine like terms: 10 + -9 = 1 -27 + 15x = 1 + 15x Add '-15x' to each side of the equation. -27 + 15x + -15x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 -27 + 0 = 1 + 15x + -15x -27 = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 -27 = 1 + 0 -27 = 1 Solving -27 = 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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