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Simplifying 7x + 9 = 5(x + 5) Reorder the terms: 9 + 7x = 5(x + 5) Reorder the terms: 9 + 7x = 5(5 + x) 9 + 7x = (5 * 5 + x * 5) 9 + 7x = (25 + 5x) Solving 9 + 7x = 25 + 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. 9 + 7x + -5x = 25 + 5x + -5x Combine like terms: 7x + -5x = 2x 9 + 2x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 2x = 25 + 0 9 + 2x = 25 Add '-9' to each side of the equation. 9 + -9 + 2x = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 25 + -9 2x = 25 + -9 Combine like terms: 25 + -9 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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