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Simplifying 7x + -3(4x + 2) = 2 + -5(x + -1) Reorder the terms: 7x + -3(2 + 4x) = 2 + -5(x + -1) 7x + (2 * -3 + 4x * -3) = 2 + -5(x + -1) 7x + (-6 + -12x) = 2 + -5(x + -1) Reorder the terms: -6 + 7x + -12x = 2 + -5(x + -1) Combine like terms: 7x + -12x = -5x -6 + -5x = 2 + -5(x + -1) Reorder the terms: -6 + -5x = 2 + -5(-1 + x) -6 + -5x = 2 + (-1 * -5 + x * -5) -6 + -5x = 2 + (5 + -5x) Combine like terms: 2 + 5 = 7 -6 + -5x = 7 + -5x Add '5x' to each side of the equation. -6 + -5x + 5x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 0 = 7 + -5x + 5x -6 = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 = 7 + 0 -6 = 7 Solving -6 = 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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