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