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Simplifying 7(x + 1) = 7(x + 1) + -2 Reorder the terms: 7(1 + x) = 7(x + 1) + -2 (1 * 7 + x * 7) = 7(x + 1) + -2 (7 + 7x) = 7(x + 1) + -2 Reorder the terms: 7 + 7x = 7(1 + x) + -2 7 + 7x = (1 * 7 + x * 7) + -2 7 + 7x = (7 + 7x) + -2 Reorder the terms: 7 + 7x = 7 + -2 + 7x Combine like terms: 7 + -2 = 5 7 + 7x = 5 + 7x Add '-7x' to each side of the equation. 7 + 7x + -7x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + 0 = 5 + 7x + -7x 7 = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 7 = 5 + 0 7 = 5 Solving 7 = 5 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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