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Simplifying 7(x + 7) = 5(x + 5) Reorder the terms: 7(7 + x) = 5(x + 5) (7 * 7 + x * 7) = 5(x + 5) (49 + 7x) = 5(x + 5) Reorder the terms: 49 + 7x = 5(5 + x) 49 + 7x = (5 * 5 + x * 5) 49 + 7x = (25 + 5x) Solving 49 + 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. 49 + 7x + -5x = 25 + 5x + -5x Combine like terms: 7x + -5x = 2x 49 + 2x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 49 + 2x = 25 + 0 49 + 2x = 25 Add '-49' to each side of the equation. 49 + -49 + 2x = 25 + -49 Combine like terms: 49 + -49 = 0 0 + 2x = 25 + -49 2x = 25 + -49 Combine like terms: 25 + -49 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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