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Simplifying 5(x + -1) + 1 = 3x + 2(-3 + x) Reorder the terms: 5(-1 + x) + 1 = 3x + 2(-3 + x) (-1 * 5 + x * 5) + 1 = 3x + 2(-3 + x) (-5 + 5x) + 1 = 3x + 2(-3 + x) Reorder the terms: -5 + 1 + 5x = 3x + 2(-3 + x) Combine like terms: -5 + 1 = -4 -4 + 5x = 3x + 2(-3 + x) -4 + 5x = 3x + (-3 * 2 + x * 2) -4 + 5x = 3x + (-6 + 2x) Reorder the terms: -4 + 5x = -6 + 3x + 2x Combine like terms: 3x + 2x = 5x -4 + 5x = -6 + 5x Add '-5x' to each side of the equation. -4 + 5x + -5x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 0 = -6 + 5x + -5x -4 = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 = -6 + 0 -4 = -6 Solving -4 = -6 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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