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