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Simplifying 2x + -1 + 3(x + -2) = 3x + -1(5 + -2x) Reorder the terms: 2x + -1 + 3(-2 + x) = 3x + -1(5 + -2x) 2x + -1 + (-2 * 3 + x * 3) = 3x + -1(5 + -2x) 2x + -1 + (-6 + 3x) = 3x + -1(5 + -2x) Reorder the terms: -1 + -6 + 2x + 3x = 3x + -1(5 + -2x) Combine like terms: -1 + -6 = -7 -7 + 2x + 3x = 3x + -1(5 + -2x) Combine like terms: 2x + 3x = 5x -7 + 5x = 3x + -1(5 + -2x) -7 + 5x = 3x + (5 * -1 + -2x * -1) -7 + 5x = 3x + (-5 + 2x) Reorder the terms: -7 + 5x = -5 + 3x + 2x Combine like terms: 3x + 2x = 5x -7 + 5x = -5 + 5x Add '-5x' to each side of the equation. -7 + 5x + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 0 = -5 + 5x + -5x -7 = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 = -5 + 0 -7 = -5 Solving -7 = -5 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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