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