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Simplifying -5x + 7x + -6 = 2(x + -5) + -1 Reorder the terms: -6 + -5x + 7x = 2(x + -5) + -1 Combine like terms: -5x + 7x = 2x -6 + 2x = 2(x + -5) + -1 Reorder the terms: -6 + 2x = 2(-5 + x) + -1 -6 + 2x = (-5 * 2 + x * 2) + -1 -6 + 2x = (-10 + 2x) + -1 Reorder the terms: -6 + 2x = -10 + -1 + 2x Combine like terms: -10 + -1 = -11 -6 + 2x = -11 + 2x Add '-2x' to each side of the equation. -6 + 2x + -2x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 0 = -11 + 2x + -2x -6 = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 = -11 + 0 -6 = -11 Solving -6 = -11 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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