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Simplifying 7(x + -7) + 6 = 7x + 9 Reorder the terms: 7(-7 + x) + 6 = 7x + 9 (-7 * 7 + x * 7) + 6 = 7x + 9 (-49 + 7x) + 6 = 7x + 9 Reorder the terms: -49 + 6 + 7x = 7x + 9 Combine like terms: -49 + 6 = -43 -43 + 7x = 7x + 9 Reorder the terms: -43 + 7x = 9 + 7x Add '-7x' to each side of the equation. -43 + 7x + -7x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -43 + 0 = 9 + 7x + -7x -43 = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -43 = 9 + 0 -43 = 9 Solving -43 = 9 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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