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Simplifying 5x + 3(x + -1) = 8(x + 6) + 2 Reorder the terms: 5x + 3(-1 + x) = 8(x + 6) + 2 5x + (-1 * 3 + x * 3) = 8(x + 6) + 2 5x + (-3 + 3x) = 8(x + 6) + 2 Reorder the terms: -3 + 5x + 3x = 8(x + 6) + 2 Combine like terms: 5x + 3x = 8x -3 + 8x = 8(x + 6) + 2 Reorder the terms: -3 + 8x = 8(6 + x) + 2 -3 + 8x = (6 * 8 + x * 8) + 2 -3 + 8x = (48 + 8x) + 2 Reorder the terms: -3 + 8x = 48 + 2 + 8x Combine like terms: 48 + 2 = 50 -3 + 8x = 50 + 8x Add '-8x' to each side of the equation. -3 + 8x + -8x = 50 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 0 = 50 + 8x + -8x -3 = 50 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 = 50 + 0 -3 = 50 Solving -3 = 50 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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