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Simplifying 9(x + -3) + 3x = 6(2x + 5) + -13 Reorder the terms: 9(-3 + x) + 3x = 6(2x + 5) + -13 (-3 * 9 + x * 9) + 3x = 6(2x + 5) + -13 (-27 + 9x) + 3x = 6(2x + 5) + -13 Combine like terms: 9x + 3x = 12x -27 + 12x = 6(2x + 5) + -13 Reorder the terms: -27 + 12x = 6(5 + 2x) + -13 -27 + 12x = (5 * 6 + 2x * 6) + -13 -27 + 12x = (30 + 12x) + -13 Reorder the terms: -27 + 12x = 30 + -13 + 12x Combine like terms: 30 + -13 = 17 -27 + 12x = 17 + 12x Add '-12x' to each side of the equation. -27 + 12x + -12x = 17 + 12x + -12x Combine like terms: 12x + -12x = 0 -27 + 0 = 17 + 12x + -12x -27 = 17 + 12x + -12x Combine like terms: 12x + -12x = 0 -27 = 17 + 0 -27 = 17 Solving -27 = 17 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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