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Simplifying 5(x + -7) + 6 = 5x + 6 Reorder the terms: 5(-7 + x) + 6 = 5x + 6 (-7 * 5 + x * 5) + 6 = 5x + 6 (-35 + 5x) + 6 = 5x + 6 Reorder the terms: -35 + 6 + 5x = 5x + 6 Combine like terms: -35 + 6 = -29 -29 + 5x = 5x + 6 Reorder the terms: -29 + 5x = 6 + 5x Add '-5x' to each side of the equation. -29 + 5x + -5x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -29 + 0 = 6 + 5x + -5x -29 = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -29 = 6 + 0 -29 = 6 Solving -29 = 6 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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