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Simplifying 4(2X + -1) + 2(2X + -1) = 3(3X + -4) + -1(2 + -3X) Reorder the terms: 4(-1 + 2X) + 2(2X + -1) = 3(3X + -4) + -1(2 + -3X) (-1 * 4 + 2X * 4) + 2(2X + -1) = 3(3X + -4) + -1(2 + -3X) (-4 + 8X) + 2(2X + -1) = 3(3X + -4) + -1(2 + -3X) Reorder the terms: -4 + 8X + 2(-1 + 2X) = 3(3X + -4) + -1(2 + -3X) -4 + 8X + (-1 * 2 + 2X * 2) = 3(3X + -4) + -1(2 + -3X) -4 + 8X + (-2 + 4X) = 3(3X + -4) + -1(2 + -3X) Reorder the terms: -4 + -2 + 8X + 4X = 3(3X + -4) + -1(2 + -3X) Combine like terms: -4 + -2 = -6 -6 + 8X + 4X = 3(3X + -4) + -1(2 + -3X) Combine like terms: 8X + 4X = 12X -6 + 12X = 3(3X + -4) + -1(2 + -3X) Reorder the terms: -6 + 12X = 3(-4 + 3X) + -1(2 + -3X) -6 + 12X = (-4 * 3 + 3X * 3) + -1(2 + -3X) -6 + 12X = (-12 + 9X) + -1(2 + -3X) -6 + 12X = -12 + 9X + (2 * -1 + -3X * -1) -6 + 12X = -12 + 9X + (-2 + 3X) Reorder the terms: -6 + 12X = -12 + -2 + 9X + 3X Combine like terms: -12 + -2 = -14 -6 + 12X = -14 + 9X + 3X Combine like terms: 9X + 3X = 12X -6 + 12X = -14 + 12X Add '-12X' to each side of the equation. -6 + 12X + -12X = -14 + 12X + -12X Combine like terms: 12X + -12X = 0 -6 + 0 = -14 + 12X + -12X -6 = -14 + 12X + -12X Combine like terms: 12X + -12X = 0 -6 = -14 + 0 -6 = -14 Solving -6 = -14 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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