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