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Simplifying 7(x + 1) = 7(x + 6) Reorder the terms: 7(1 + x) = 7(x + 6) (1 * 7 + x * 7) = 7(x + 6) (7 + 7x) = 7(x + 6) Reorder the terms: 7 + 7x = 7(6 + x) 7 + 7x = (6 * 7 + x * 7) 7 + 7x = (42 + 7x) Add '-7x' to each side of the equation. 7 + 7x + -7x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + 0 = 42 + 7x + -7x 7 = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 7 = 42 + 0 7 = 42 Solving 7 = 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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