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Simplifying 7(3x + 5) = 11(x + 9) Reorder the terms: 7(5 + 3x) = 11(x + 9) (5 * 7 + 3x * 7) = 11(x + 9) (35 + 21x) = 11(x + 9) Reorder the terms: 35 + 21x = 11(9 + x) 35 + 21x = (9 * 11 + x * 11) 35 + 21x = (99 + 11x) Solving 35 + 21x = 99 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 35 + 21x + -11x = 99 + 11x + -11x Combine like terms: 21x + -11x = 10x 35 + 10x = 99 + 11x + -11x Combine like terms: 11x + -11x = 0 35 + 10x = 99 + 0 35 + 10x = 99 Add '-35' to each side of the equation. 35 + -35 + 10x = 99 + -35 Combine like terms: 35 + -35 = 0 0 + 10x = 99 + -35 10x = 99 + -35 Combine like terms: 99 + -35 = 64 10x = 64 Divide each side by '10'. x = 6.4 Simplifying x = 6.4
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