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Simplifying 5x + 7 = 7x + 5 + -1(2x + 2) Reorder the terms: 7 + 5x = 7x + 5 + -1(2x + 2) Reorder the terms: 7 + 5x = 7x + 5 + -1(2 + 2x) 7 + 5x = 7x + 5 + (2 * -1 + 2x * -1) 7 + 5x = 7x + 5 + (-2 + -2x) Reorder the terms: 7 + 5x = 5 + -2 + 7x + -2x Combine like terms: 5 + -2 = 3 7 + 5x = 3 + 7x + -2x Combine like terms: 7x + -2x = 5x 7 + 5x = 3 + 5x Add '-5x' to each side of the equation. 7 + 5x + -5x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 0 = 3 + 5x + -5x 7 = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 7 = 3 + 0 7 = 3 Solving 7 = 3 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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