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Simplifying -2x + 7x + -7 = 5(x + -6) + -1 Reorder the terms: -7 + -2x + 7x = 5(x + -6) + -1 Combine like terms: -2x + 7x = 5x -7 + 5x = 5(x + -6) + -1 Reorder the terms: -7 + 5x = 5(-6 + x) + -1 -7 + 5x = (-6 * 5 + x * 5) + -1 -7 + 5x = (-30 + 5x) + -1 Reorder the terms: -7 + 5x = -30 + -1 + 5x Combine like terms: -30 + -1 = -31 -7 + 5x = -31 + 5x Add '-5x' to each side of the equation. -7 + 5x + -5x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 0 = -31 + 5x + -5x -7 = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 = -31 + 0 -7 = -31 Solving -7 = -31 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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