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Simplifying 12X + 13 + -5X + 11 = 3(2X + 9) + -2 Reorder the terms: 13 + 11 + 12X + -5X = 3(2X + 9) + -2 Combine like terms: 13 + 11 = 24 24 + 12X + -5X = 3(2X + 9) + -2 Combine like terms: 12X + -5X = 7X 24 + 7X = 3(2X + 9) + -2 Reorder the terms: 24 + 7X = 3(9 + 2X) + -2 24 + 7X = (9 * 3 + 2X * 3) + -2 24 + 7X = (27 + 6X) + -2 Reorder the terms: 24 + 7X = 27 + -2 + 6X Combine like terms: 27 + -2 = 25 24 + 7X = 25 + 6X Solving 24 + 7X = 25 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 24 + 7X + -6X = 25 + 6X + -6X Combine like terms: 7X + -6X = 1X 24 + 1X = 25 + 6X + -6X Combine like terms: 6X + -6X = 0 24 + 1X = 25 + 0 24 + 1X = 25 Add '-24' to each side of the equation. 24 + -24 + 1X = 25 + -24 Combine like terms: 24 + -24 = 0 0 + 1X = 25 + -24 1X = 25 + -24 Combine like terms: 25 + -24 = 1 1X = 1 Divide each side by '1'. X = 1 Simplifying X = 1
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