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Simplifying 3(3X + 1) + -1(X + -1) = 6(X + -10) Reorder the terms: 3(1 + 3X) + -1(X + -1) = 6(X + -10) (1 * 3 + 3X * 3) + -1(X + -1) = 6(X + -10) (3 + 9X) + -1(X + -1) = 6(X + -10) Reorder the terms: 3 + 9X + -1(-1 + X) = 6(X + -10) 3 + 9X + (-1 * -1 + X * -1) = 6(X + -10) 3 + 9X + (1 + -1X) = 6(X + -10) Reorder the terms: 3 + 1 + 9X + -1X = 6(X + -10) Combine like terms: 3 + 1 = 4 4 + 9X + -1X = 6(X + -10) Combine like terms: 9X + -1X = 8X 4 + 8X = 6(X + -10) Reorder the terms: 4 + 8X = 6(-10 + X) 4 + 8X = (-10 * 6 + X * 6) 4 + 8X = (-60 + 6X) Solving 4 + 8X = -60 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 4 + 8X + -6X = -60 + 6X + -6X Combine like terms: 8X + -6X = 2X 4 + 2X = -60 + 6X + -6X Combine like terms: 6X + -6X = 0 4 + 2X = -60 + 0 4 + 2X = -60 Add '-4' to each side of the equation. 4 + -4 + 2X = -60 + -4 Combine like terms: 4 + -4 = 0 0 + 2X = -60 + -4 2X = -60 + -4 Combine like terms: -60 + -4 = -64 2X = -64 Divide each side by '2'. X = -32 Simplifying X = -32
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