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Simplifying 2(X + 7) + 3(4X + 5) = 4X + 49 Reorder the terms: 2(7 + X) + 3(4X + 5) = 4X + 49 (7 * 2 + X * 2) + 3(4X + 5) = 4X + 49 (14 + 2X) + 3(4X + 5) = 4X + 49 Reorder the terms: 14 + 2X + 3(5 + 4X) = 4X + 49 14 + 2X + (5 * 3 + 4X * 3) = 4X + 49 14 + 2X + (15 + 12X) = 4X + 49 Reorder the terms: 14 + 15 + 2X + 12X = 4X + 49 Combine like terms: 14 + 15 = 29 29 + 2X + 12X = 4X + 49 Combine like terms: 2X + 12X = 14X 29 + 14X = 4X + 49 Reorder the terms: 29 + 14X = 49 + 4X Solving 29 + 14X = 49 + 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 + 14X + -4X = 49 + 4X + -4X Combine like terms: 14X + -4X = 10X 29 + 10X = 49 + 4X + -4X Combine like terms: 4X + -4X = 0 29 + 10X = 49 + 0 29 + 10X = 49 Add '-29' to each side of the equation. 29 + -29 + 10X = 49 + -29 Combine like terms: 29 + -29 = 0 0 + 10X = 49 + -29 10X = 49 + -29 Combine like terms: 49 + -29 = 20 10X = 20 Divide each side by '10'. X = 2 Simplifying X = 2
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