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Simplifying -9(x + 3) + (17x) = 8(x + 4) + -17 Reorder the terms: -9(3 + x) + (17x) = 8(x + 4) + -17 (3 * -9 + x * -9) + (17x) = 8(x + 4) + -17 (-27 + -9x) + (17x) = 8(x + 4) + -17 Combine like terms: -9x + (17x) = 8x -27 + 8x = 8(x + 4) + -17 Reorder the terms: -27 + 8x = 8(4 + x) + -17 -27 + 8x = (4 * 8 + x * 8) + -17 -27 + 8x = (32 + 8x) + -17 Reorder the terms: -27 + 8x = 32 + -17 + 8x Combine like terms: 32 + -17 = 15 -27 + 8x = 15 + 8x Add '-8x' to each side of the equation. -27 + 8x + -8x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + 0 = 15 + 8x + -8x -27 = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 = 15 + 0 -27 = 15 Solving -27 = 15 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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