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Simplifying 7(x + 5) = 5(x + 9) Reorder the terms: 7(5 + x) = 5(x + 9) (5 * 7 + x * 7) = 5(x + 9) (35 + 7x) = 5(x + 9) Reorder the terms: 35 + 7x = 5(9 + x) 35 + 7x = (9 * 5 + x * 5) 35 + 7x = (45 + 5x) Solving 35 + 7x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 35 + 7x + -5x = 45 + 5x + -5x Combine like terms: 7x + -5x = 2x 35 + 2x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + 2x = 45 + 0 35 + 2x = 45 Add '-35' to each side of the equation. 35 + -35 + 2x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 45 + -35 2x = 45 + -35 Combine like terms: 45 + -35 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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