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Simplifying 7(x + -1) = 7(x + 1) + 3 Reorder the terms: 7(-1 + x) = 7(x + 1) + 3 (-1 * 7 + x * 7) = 7(x + 1) + 3 (-7 + 7x) = 7(x + 1) + 3 Reorder the terms: -7 + 7x = 7(1 + x) + 3 -7 + 7x = (1 * 7 + x * 7) + 3 -7 + 7x = (7 + 7x) + 3 Reorder the terms: -7 + 7x = 7 + 3 + 7x Combine like terms: 7 + 3 = 10 -7 + 7x = 10 + 7x Add '-7x' to each side of the equation. -7 + 7x + -7x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + 0 = 10 + 7x + -7x -7 = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 = 10 + 0 -7 = 10 Solving -7 = 10 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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