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Simplifying 5(x + -1) + -6 = 3x + 2(-3 + x) Reorder the terms: 5(-1 + x) + -6 = 3x + 2(-3 + x) (-1 * 5 + x * 5) + -6 = 3x + 2(-3 + x) (-5 + 5x) + -6 = 3x + 2(-3 + x) Reorder the terms: -5 + -6 + 5x = 3x + 2(-3 + x) Combine like terms: -5 + -6 = -11 -11 + 5x = 3x + 2(-3 + x) -11 + 5x = 3x + (-3 * 2 + x * 2) -11 + 5x = 3x + (-6 + 2x) Reorder the terms: -11 + 5x = -6 + 3x + 2x Combine like terms: 3x + 2x = 5x -11 + 5x = -6 + 5x Add '-5x' to each side of the equation. -11 + 5x + -5x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 0 = -6 + 5x + -5x -11 = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 = -6 + 0 -11 = -6 Solving -11 = -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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