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