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Simplifying 3x + -1(4 + -2x) = 5 + -1(2 + -5x) 3x + (4 * -1 + -2x * -1) = 5 + -1(2 + -5x) 3x + (-4 + 2x) = 5 + -1(2 + -5x) Reorder the terms: -4 + 3x + 2x = 5 + -1(2 + -5x) Combine like terms: 3x + 2x = 5x -4 + 5x = 5 + -1(2 + -5x) -4 + 5x = 5 + (2 * -1 + -5x * -1) -4 + 5x = 5 + (-2 + 5x) Combine like terms: 5 + -2 = 3 -4 + 5x = 3 + 5x Add '-5x' to each side of the equation. -4 + 5x + -5x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 0 = 3 + 5x + -5x -4 = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 = 3 + 0 -4 = 3 Solving -4 = 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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