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