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Simplifying 4(2x + -1) = 2(3x + 1) + 2x + 1 Reorder the terms: 4(-1 + 2x) = 2(3x + 1) + 2x + 1 (-1 * 4 + 2x * 4) = 2(3x + 1) + 2x + 1 (-4 + 8x) = 2(3x + 1) + 2x + 1 Reorder the terms: -4 + 8x = 2(1 + 3x) + 2x + 1 -4 + 8x = (1 * 2 + 3x * 2) + 2x + 1 -4 + 8x = (2 + 6x) + 2x + 1 Reorder the terms: -4 + 8x = 2 + 1 + 6x + 2x Combine like terms: 2 + 1 = 3 -4 + 8x = 3 + 6x + 2x Combine like terms: 6x + 2x = 8x -4 + 8x = 3 + 8x Add '-8x' to each side of the equation. -4 + 8x + -8x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 0 = 3 + 8x + -8x -4 = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 = 3 + 0 -4 = 3 Solving -4 = 3 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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