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Simplifying 5x + 2 = 6x + -1(x + 7) Reorder the terms: 2 + 5x = 6x + -1(x + 7) Reorder the terms: 2 + 5x = 6x + -1(7 + x) 2 + 5x = 6x + (7 * -1 + x * -1) 2 + 5x = 6x + (-7 + -1x) Reorder the terms: 2 + 5x = -7 + 6x + -1x Combine like terms: 6x + -1x = 5x 2 + 5x = -7 + 5x Add '-5x' to each side of the equation. 2 + 5x + -5x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 0 = -7 + 5x + -5x 2 = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 2 = -7 + 0 2 = -7 Solving 2 = -7 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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