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Simplifying 11(x + 6) = 9(x + 8) Reorder the terms: 11(6 + x) = 9(x + 8) (6 * 11 + x * 11) = 9(x + 8) (66 + 11x) = 9(x + 8) Reorder the terms: 66 + 11x = 9(8 + x) 66 + 11x = (8 * 9 + x * 9) 66 + 11x = (72 + 9x) Solving 66 + 11x = 72 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 66 + 11x + -9x = 72 + 9x + -9x Combine like terms: 11x + -9x = 2x 66 + 2x = 72 + 9x + -9x Combine like terms: 9x + -9x = 0 66 + 2x = 72 + 0 66 + 2x = 72 Add '-66' to each side of the equation. 66 + -66 + 2x = 72 + -66 Combine like terms: 66 + -66 = 0 0 + 2x = 72 + -66 2x = 72 + -66 Combine like terms: 72 + -66 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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