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Simplifying 13 + 4(6X + 5) = 5(5X + 2) Reorder the terms: 13 + 4(5 + 6X) = 5(5X + 2) 13 + (5 * 4 + 6X * 4) = 5(5X + 2) 13 + (20 + 24X) = 5(5X + 2) Combine like terms: 13 + 20 = 33 33 + 24X = 5(5X + 2) Reorder the terms: 33 + 24X = 5(2 + 5X) 33 + 24X = (2 * 5 + 5X * 5) 33 + 24X = (10 + 25X) Solving 33 + 24X = 10 + 25X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-25X' to each side of the equation. 33 + 24X + -25X = 10 + 25X + -25X Combine like terms: 24X + -25X = -1X 33 + -1X = 10 + 25X + -25X Combine like terms: 25X + -25X = 0 33 + -1X = 10 + 0 33 + -1X = 10 Add '-33' to each side of the equation. 33 + -33 + -1X = 10 + -33 Combine like terms: 33 + -33 = 0 0 + -1X = 10 + -33 -1X = 10 + -33 Combine like terms: 10 + -33 = -23 -1X = -23 Divide each side by '-1'. X = 23 Simplifying X = 23
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