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Simplifying 7x + -1(4x + 7) = 5x + -1(2x + -7) Reorder the terms: 7x + -1(7 + 4x) = 5x + -1(2x + -7) 7x + (7 * -1 + 4x * -1) = 5x + -1(2x + -7) 7x + (-7 + -4x) = 5x + -1(2x + -7) Reorder the terms: -7 + 7x + -4x = 5x + -1(2x + -7) Combine like terms: 7x + -4x = 3x -7 + 3x = 5x + -1(2x + -7) Reorder the terms: -7 + 3x = 5x + -1(-7 + 2x) -7 + 3x = 5x + (-7 * -1 + 2x * -1) -7 + 3x = 5x + (7 + -2x) Reorder the terms: -7 + 3x = 7 + 5x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 7 + 3x Add '-3x' to each side of the equation. -7 + 3x + -3x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 0 = 7 + 3x + -3x -7 = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 = 7 + 0 -7 = 7 Solving -7 = 7 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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