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Simplifying 14(x + 6) = 11(x + 9) Reorder the terms: 14(6 + x) = 11(x + 9) (6 * 14 + x * 14) = 11(x + 9) (84 + 14x) = 11(x + 9) Reorder the terms: 84 + 14x = 11(9 + x) 84 + 14x = (9 * 11 + x * 11) 84 + 14x = (99 + 11x) Solving 84 + 14x = 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. 84 + 14x + -11x = 99 + 11x + -11x Combine like terms: 14x + -11x = 3x 84 + 3x = 99 + 11x + -11x Combine like terms: 11x + -11x = 0 84 + 3x = 99 + 0 84 + 3x = 99 Add '-84' to each side of the equation. 84 + -84 + 3x = 99 + -84 Combine like terms: 84 + -84 = 0 0 + 3x = 99 + -84 3x = 99 + -84 Combine like terms: 99 + -84 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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