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Simplifying 2(5X + 9) = 3(4X + 7) Reorder the terms: 2(9 + 5X) = 3(4X + 7) (9 * 2 + 5X * 2) = 3(4X + 7) (18 + 10X) = 3(4X + 7) Reorder the terms: 18 + 10X = 3(7 + 4X) 18 + 10X = (7 * 3 + 4X * 3) 18 + 10X = (21 + 12X) Solving 18 + 10X = 21 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. 18 + 10X + -12X = 21 + 12X + -12X Combine like terms: 10X + -12X = -2X 18 + -2X = 21 + 12X + -12X Combine like terms: 12X + -12X = 0 18 + -2X = 21 + 0 18 + -2X = 21 Add '-18' to each side of the equation. 18 + -18 + -2X = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -2X = 21 + -18 -2X = 21 + -18 Combine like terms: 21 + -18 = 3 -2X = 3 Divide each side by '-2'. X = -1.5 Simplifying X = -1.5
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