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