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Simplifying 3(X + 4) = 2(X + 5) Reorder the terms: 3(4 + X) = 2(X + 5) (4 * 3 + X * 3) = 2(X + 5) (12 + 3X) = 2(X + 5) Reorder the terms: 12 + 3X = 2(5 + X) 12 + 3X = (5 * 2 + X * 2) 12 + 3X = (10 + 2X) Solving 12 + 3X = 10 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 12 + 3X + -2X = 10 + 2X + -2X Combine like terms: 3X + -2X = 1X 12 + 1X = 10 + 2X + -2X Combine like terms: 2X + -2X = 0 12 + 1X = 10 + 0 12 + 1X = 10 Add '-12' to each side of the equation. 12 + -12 + 1X = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1X = 10 + -12 1X = 10 + -12 Combine like terms: 10 + -12 = -2 1X = -2 Divide each side by '1'. X = -2 Simplifying X = -2
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