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Simplifying 6(2x + -3) + -4x + 2 = 4(2x + 1) + -5 Reorder the terms: 6(-3 + 2x) + -4x + 2 = 4(2x + 1) + -5 (-3 * 6 + 2x * 6) + -4x + 2 = 4(2x + 1) + -5 (-18 + 12x) + -4x + 2 = 4(2x + 1) + -5 Reorder the terms: -18 + 2 + 12x + -4x = 4(2x + 1) + -5 Combine like terms: -18 + 2 = -16 -16 + 12x + -4x = 4(2x + 1) + -5 Combine like terms: 12x + -4x = 8x -16 + 8x = 4(2x + 1) + -5 Reorder the terms: -16 + 8x = 4(1 + 2x) + -5 -16 + 8x = (1 * 4 + 2x * 4) + -5 -16 + 8x = (4 + 8x) + -5 Reorder the terms: -16 + 8x = 4 + -5 + 8x Combine like terms: 4 + -5 = -1 -16 + 8x = -1 + 8x Add '-8x' to each side of the equation. -16 + 8x + -8x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 0 = -1 + 8x + -8x -16 = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 = -1 + 0 -16 = -1 Solving -16 = -1 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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