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Simplifying 5(x + -2) + -1 = 2x + 3(-5 + x) Reorder the terms: 5(-2 + x) + -1 = 2x + 3(-5 + x) (-2 * 5 + x * 5) + -1 = 2x + 3(-5 + x) (-10 + 5x) + -1 = 2x + 3(-5 + x) Reorder the terms: -10 + -1 + 5x = 2x + 3(-5 + x) Combine like terms: -10 + -1 = -11 -11 + 5x = 2x + 3(-5 + x) -11 + 5x = 2x + (-5 * 3 + x * 3) -11 + 5x = 2x + (-15 + 3x) Reorder the terms: -11 + 5x = -15 + 2x + 3x Combine like terms: 2x + 3x = 5x -11 + 5x = -15 + 5x Add '-5x' to each side of the equation. -11 + 5x + -5x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 0 = -15 + 5x + -5x -11 = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 = -15 + 0 -11 = -15 Solving -11 = -15 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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