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Simplifying 2(-7 + x) + 3x + -5(4 + -4x) = 5(5x + -6) (-7 * 2 + x * 2) + 3x + -5(4 + -4x) = 5(5x + -6) (-14 + 2x) + 3x + -5(4 + -4x) = 5(5x + -6) -14 + 2x + 3x + (4 * -5 + -4x * -5) = 5(5x + -6) -14 + 2x + 3x + (-20 + 20x) = 5(5x + -6) Reorder the terms: -14 + -20 + 2x + 3x + 20x = 5(5x + -6) Combine like terms: -14 + -20 = -34 -34 + 2x + 3x + 20x = 5(5x + -6) Combine like terms: 2x + 3x = 5x -34 + 5x + 20x = 5(5x + -6) Combine like terms: 5x + 20x = 25x -34 + 25x = 5(5x + -6) Reorder the terms: -34 + 25x = 5(-6 + 5x) -34 + 25x = (-6 * 5 + 5x * 5) -34 + 25x = (-30 + 25x) Add '-25x' to each side of the equation. -34 + 25x + -25x = -30 + 25x + -25x Combine like terms: 25x + -25x = 0 -34 + 0 = -30 + 25x + -25x -34 = -30 + 25x + -25x Combine like terms: 25x + -25x = 0 -34 = -30 + 0 -34 = -30 Solving -34 = -30 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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