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Simplifying -8(x + 3) + 17x = 9(x + 8) + 17 Reorder the terms: -8(3 + x) + 17x = 9(x + 8) + 17 (3 * -8 + x * -8) + 17x = 9(x + 8) + 17 (-24 + -8x) + 17x = 9(x + 8) + 17 Combine like terms: -8x + 17x = 9x -24 + 9x = 9(x + 8) + 17 Reorder the terms: -24 + 9x = 9(8 + x) + 17 -24 + 9x = (8 * 9 + x * 9) + 17 -24 + 9x = (72 + 9x) + 17 Reorder the terms: -24 + 9x = 72 + 17 + 9x Combine like terms: 72 + 17 = 89 -24 + 9x = 89 + 9x Add '-9x' to each side of the equation. -24 + 9x + -9x = 89 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 0 = 89 + 9x + -9x -24 = 89 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 = 89 + 0 -24 = 89 Solving -24 = 89 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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