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Simplifying 3x + 2 + 5(x + -1) = 8x + 17 Reorder the terms: 3x + 2 + 5(-1 + x) = 8x + 17 3x + 2 + (-1 * 5 + x * 5) = 8x + 17 3x + 2 + (-5 + 5x) = 8x + 17 Reorder the terms: 2 + -5 + 3x + 5x = 8x + 17 Combine like terms: 2 + -5 = -3 -3 + 3x + 5x = 8x + 17 Combine like terms: 3x + 5x = 8x -3 + 8x = 8x + 17 Reorder the terms: -3 + 8x = 17 + 8x Add '-8x' to each side of the equation. -3 + 8x + -8x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 0 = 17 + 8x + -8x -3 = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 = 17 + 0 -3 = 17 Solving -3 = 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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