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Simplifying 7x + -5 = 7(x + 1) + -6 Reorder the terms: -5 + 7x = 7(x + 1) + -6 Reorder the terms: -5 + 7x = 7(1 + x) + -6 -5 + 7x = (1 * 7 + x * 7) + -6 -5 + 7x = (7 + 7x) + -6 Reorder the terms: -5 + 7x = 7 + -6 + 7x Combine like terms: 7 + -6 = 1 -5 + 7x = 1 + 7x Add '-7x' to each side of the equation. -5 + 7x + -7x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 0 = 1 + 7x + -7x -5 = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 = 1 + 0 -5 = 1 Solving -5 = 1 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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