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Simplifying 5(x + -1) = 2(x + 2) + 3x + -8 Reorder the terms: 5(-1 + x) = 2(x + 2) + 3x + -8 (-1 * 5 + x * 5) = 2(x + 2) + 3x + -8 (-5 + 5x) = 2(x + 2) + 3x + -8 Reorder the terms: -5 + 5x = 2(2 + x) + 3x + -8 -5 + 5x = (2 * 2 + x * 2) + 3x + -8 -5 + 5x = (4 + 2x) + 3x + -8 Reorder the terms: -5 + 5x = 4 + -8 + 2x + 3x Combine like terms: 4 + -8 = -4 -5 + 5x = -4 + 2x + 3x Combine like terms: 2x + 3x = 5x -5 + 5x = -4 + 5x Add '-5x' to each side of the equation. -5 + 5x + -5x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 0 = -4 + 5x + -5x -5 = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 = -4 + 0 -5 = -4 Solving -5 = -4 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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