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Simplifying 2(X + 6) + 1 = 3(X + 4) Reorder the terms: 2(6 + X) + 1 = 3(X + 4) (6 * 2 + X * 2) + 1 = 3(X + 4) (12 + 2X) + 1 = 3(X + 4) Reorder the terms: 12 + 1 + 2X = 3(X + 4) Combine like terms: 12 + 1 = 13 13 + 2X = 3(X + 4) Reorder the terms: 13 + 2X = 3(4 + X) 13 + 2X = (4 * 3 + X * 3) 13 + 2X = (12 + 3X) Solving 13 + 2X = 12 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 13 + 2X + -3X = 12 + 3X + -3X Combine like terms: 2X + -3X = -1X 13 + -1X = 12 + 3X + -3X Combine like terms: 3X + -3X = 0 13 + -1X = 12 + 0 13 + -1X = 12 Add '-13' to each side of the equation. 13 + -13 + -1X = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -1X = 12 + -13 -1X = 12 + -13 Combine like terms: 12 + -13 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1
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