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Simplifying 3(X + 1) = 4(X + -2) Reorder the terms: 3(1 + X) = 4(X + -2) (1 * 3 + X * 3) = 4(X + -2) (3 + 3X) = 4(X + -2) Reorder the terms: 3 + 3X = 4(-2 + X) 3 + 3X = (-2 * 4 + X * 4) 3 + 3X = (-8 + 4X) Solving 3 + 3X = -8 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. 3 + 3X + -4X = -8 + 4X + -4X Combine like terms: 3X + -4X = -1X 3 + -1X = -8 + 4X + -4X Combine like terms: 4X + -4X = 0 3 + -1X = -8 + 0 3 + -1X = -8 Add '-3' to each side of the equation. 3 + -3 + -1X = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = -8 + -3 -1X = -8 + -3 Combine like terms: -8 + -3 = -11 -1X = -11 Divide each side by '-1'. X = 11 Simplifying X = 11
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