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Simplifying 11(x + 2) = 4(x + 9) Reorder the terms: 11(2 + x) = 4(x + 9) (2 * 11 + x * 11) = 4(x + 9) (22 + 11x) = 4(x + 9) Reorder the terms: 22 + 11x = 4(9 + x) 22 + 11x = (9 * 4 + x * 4) 22 + 11x = (36 + 4x) Solving 22 + 11x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 22 + 11x + -4x = 36 + 4x + -4x Combine like terms: 11x + -4x = 7x 22 + 7x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + 7x = 36 + 0 22 + 7x = 36 Add '-22' to each side of the equation. 22 + -22 + 7x = 36 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = 36 + -22 7x = 36 + -22 Combine like terms: 36 + -22 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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