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Simplifying x + -1(7 + -3x) = 2(2x + 5) x + (7 * -1 + -3x * -1) = 2(2x + 5) x + (-7 + 3x) = 2(2x + 5) Reorder the terms: -7 + x + 3x = 2(2x + 5) Combine like terms: x + 3x = 4x -7 + 4x = 2(2x + 5) Reorder the terms: -7 + 4x = 2(5 + 2x) -7 + 4x = (5 * 2 + 2x * 2) -7 + 4x = (10 + 4x) Add '-4x' to each side of the equation. -7 + 4x + -4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 0 = 10 + 4x + -4x -7 = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 = 10 + 0 -7 = 10 Solving -7 = 10 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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