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Simplifying 7(x + -5) + 8 = 2x + 5(-5 + x) Reorder the terms: 7(-5 + x) + 8 = 2x + 5(-5 + x) (-5 * 7 + x * 7) + 8 = 2x + 5(-5 + x) (-35 + 7x) + 8 = 2x + 5(-5 + x) Reorder the terms: -35 + 8 + 7x = 2x + 5(-5 + x) Combine like terms: -35 + 8 = -27 -27 + 7x = 2x + 5(-5 + x) -27 + 7x = 2x + (-5 * 5 + x * 5) -27 + 7x = 2x + (-25 + 5x) Reorder the terms: -27 + 7x = -25 + 2x + 5x Combine like terms: 2x + 5x = 7x -27 + 7x = -25 + 7x Add '-7x' to each side of the equation. -27 + 7x + -7x = -25 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 + 0 = -25 + 7x + -7x -27 = -25 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 = -25 + 0 -27 = -25 Solving -27 = -25 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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