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Simplifying 2 + 5(X + 3) + -3(X + -4) = 2(2X + 4) Reorder the terms: 2 + 5(3 + X) + -3(X + -4) = 2(2X + 4) 2 + (3 * 5 + X * 5) + -3(X + -4) = 2(2X + 4) 2 + (15 + 5X) + -3(X + -4) = 2(2X + 4) Reorder the terms: 2 + 15 + 5X + -3(-4 + X) = 2(2X + 4) 2 + 15 + 5X + (-4 * -3 + X * -3) = 2(2X + 4) 2 + 15 + 5X + (12 + -3X) = 2(2X + 4) Reorder the terms: 2 + 15 + 12 + 5X + -3X = 2(2X + 4) Combine like terms: 2 + 15 = 17 17 + 12 + 5X + -3X = 2(2X + 4) Combine like terms: 17 + 12 = 29 29 + 5X + -3X = 2(2X + 4) Combine like terms: 5X + -3X = 2X 29 + 2X = 2(2X + 4) Reorder the terms: 29 + 2X = 2(4 + 2X) 29 + 2X = (4 * 2 + 2X * 2) 29 + 2X = (8 + 4X) Solving 29 + 2X = 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. 29 + 2X + -4X = 8 + 4X + -4X Combine like terms: 2X + -4X = -2X 29 + -2X = 8 + 4X + -4X Combine like terms: 4X + -4X = 0 29 + -2X = 8 + 0 29 + -2X = 8 Add '-29' to each side of the equation. 29 + -29 + -2X = 8 + -29 Combine like terms: 29 + -29 = 0 0 + -2X = 8 + -29 -2X = 8 + -29 Combine like terms: 8 + -29 = -21 -2X = -21 Divide each side by '-2'. X = 10.5 Simplifying X = 10.5
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