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