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Simplifying 5x + 2(x + -8) = 8x + -1(x + 2) Reorder the terms: 5x + 2(-8 + x) = 8x + -1(x + 2) 5x + (-8 * 2 + x * 2) = 8x + -1(x + 2) 5x + (-16 + 2x) = 8x + -1(x + 2) Reorder the terms: -16 + 5x + 2x = 8x + -1(x + 2) Combine like terms: 5x + 2x = 7x -16 + 7x = 8x + -1(x + 2) Reorder the terms: -16 + 7x = 8x + -1(2 + x) -16 + 7x = 8x + (2 * -1 + x * -1) -16 + 7x = 8x + (-2 + -1x) Reorder the terms: -16 + 7x = -2 + 8x + -1x Combine like terms: 8x + -1x = 7x -16 + 7x = -2 + 7x Add '-7x' to each side of the equation. -16 + 7x + -7x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 0 = -2 + 7x + -7x -16 = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 = -2 + 0 -16 = -2 Solving -16 = -2 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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