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Simplifying 25(10X + 2) = 21(12X + 2) Reorder the terms: 25(2 + 10X) = 21(12X + 2) (2 * 25 + 10X * 25) = 21(12X + 2) (50 + 250X) = 21(12X + 2) Reorder the terms: 50 + 250X = 21(2 + 12X) 50 + 250X = (2 * 21 + 12X * 21) 50 + 250X = (42 + 252X) Solving 50 + 250X = 42 + 252X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-252X' to each side of the equation. 50 + 250X + -252X = 42 + 252X + -252X Combine like terms: 250X + -252X = -2X 50 + -2X = 42 + 252X + -252X Combine like terms: 252X + -252X = 0 50 + -2X = 42 + 0 50 + -2X = 42 Add '-50' to each side of the equation. 50 + -50 + -2X = 42 + -50 Combine like terms: 50 + -50 = 0 0 + -2X = 42 + -50 -2X = 42 + -50 Combine like terms: 42 + -50 = -8 -2X = -8 Divide each side by '-2'. X = 4 Simplifying X = 4
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