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