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Simplifying 7(x + -2) + 8 = 2x + 5(-2 + x) Reorder the terms: 7(-2 + x) + 8 = 2x + 5(-2 + x) (-2 * 7 + x * 7) + 8 = 2x + 5(-2 + x) (-14 + 7x) + 8 = 2x + 5(-2 + x) Reorder the terms: -14 + 8 + 7x = 2x + 5(-2 + x) Combine like terms: -14 + 8 = -6 -6 + 7x = 2x + 5(-2 + x) -6 + 7x = 2x + (-2 * 5 + x * 5) -6 + 7x = 2x + (-10 + 5x) Reorder the terms: -6 + 7x = -10 + 2x + 5x Combine like terms: 2x + 5x = 7x -6 + 7x = -10 + 7x Add '-7x' to each side of the equation. -6 + 7x + -7x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 0 = -10 + 7x + -7x -6 = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 = -10 + 0 -6 = -10 Solving -6 = -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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