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Simplifying -5x + 7x + -8 = 2(x + -2) + -6 Reorder the terms: -8 + -5x + 7x = 2(x + -2) + -6 Combine like terms: -5x + 7x = 2x -8 + 2x = 2(x + -2) + -6 Reorder the terms: -8 + 2x = 2(-2 + x) + -6 -8 + 2x = (-2 * 2 + x * 2) + -6 -8 + 2x = (-4 + 2x) + -6 Reorder the terms: -8 + 2x = -4 + -6 + 2x Combine like terms: -4 + -6 = -10 -8 + 2x = -10 + 2x Add '-2x' to each side of the equation. -8 + 2x + -2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 0 = -10 + 2x + -2x -8 = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 = -10 + 0 -8 = -10 Solving -8 = -10 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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