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Simplifying 5(x + -1) + -2 = 2x + 3(-1 + x) Reorder the terms: 5(-1 + x) + -2 = 2x + 3(-1 + x) (-1 * 5 + x * 5) + -2 = 2x + 3(-1 + x) (-5 + 5x) + -2 = 2x + 3(-1 + x) Reorder the terms: -5 + -2 + 5x = 2x + 3(-1 + x) Combine like terms: -5 + -2 = -7 -7 + 5x = 2x + 3(-1 + x) -7 + 5x = 2x + (-1 * 3 + x * 3) -7 + 5x = 2x + (-3 + 3x) Reorder the terms: -7 + 5x = -3 + 2x + 3x Combine like terms: 2x + 3x = 5x -7 + 5x = -3 + 5x Add '-5x' to each side of the equation. -7 + 5x + -5x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 0 = -3 + 5x + -5x -7 = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 = -3 + 0 -7 = -3 Solving -7 = -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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