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Simplifying 2(4x + -1) = 5x + 1 + 3(x + 3) Reorder the terms: 2(-1 + 4x) = 5x + 1 + 3(x + 3) (-1 * 2 + 4x * 2) = 5x + 1 + 3(x + 3) (-2 + 8x) = 5x + 1 + 3(x + 3) Reorder the terms: -2 + 8x = 5x + 1 + 3(3 + x) -2 + 8x = 5x + 1 + (3 * 3 + x * 3) -2 + 8x = 5x + 1 + (9 + 3x) Reorder the terms: -2 + 8x = 1 + 9 + 5x + 3x Combine like terms: 1 + 9 = 10 -2 + 8x = 10 + 5x + 3x Combine like terms: 5x + 3x = 8x -2 + 8x = 10 + 8x Add '-8x' to each side of the equation. -2 + 8x + -8x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 0 = 10 + 8x + -8x -2 = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 = 10 + 0 -2 = 10 Solving -2 = 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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