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Simplifying 3x + -17 = 8x + -5(x + -2) Reorder the terms: -17 + 3x = 8x + -5(x + -2) Reorder the terms: -17 + 3x = 8x + -5(-2 + x) -17 + 3x = 8x + (-2 * -5 + x * -5) -17 + 3x = 8x + (10 + -5x) Reorder the terms: -17 + 3x = 10 + 8x + -5x Combine like terms: 8x + -5x = 3x -17 + 3x = 10 + 3x Add '-3x' to each side of the equation. -17 + 3x + -3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 0 = 10 + 3x + -3x -17 = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 = 10 + 0 -17 = 10 Solving -17 = 10 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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