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Simplifying 6(x + -7) + 35 = 6x + -6 Reorder the terms: 6(-7 + x) + 35 = 6x + -6 (-7 * 6 + x * 6) + 35 = 6x + -6 (-42 + 6x) + 35 = 6x + -6 Reorder the terms: -42 + 35 + 6x = 6x + -6 Combine like terms: -42 + 35 = -7 -7 + 6x = 6x + -6 Reorder the terms: -7 + 6x = -6 + 6x Add '-6x' to each side of the equation. -7 + 6x + -6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 0 = -6 + 6x + -6x -7 = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 = -6 + 0 -7 = -6 Solving -7 = -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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