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Simplifying 11 + (7x + 10) = 5(x + 5) Reorder the terms: 11 + (10 + 7x) = 5(x + 5) Remove parenthesis around (10 + 7x) 11 + 10 + 7x = 5(x + 5) Combine like terms: 11 + 10 = 21 21 + 7x = 5(x + 5) Reorder the terms: 21 + 7x = 5(5 + x) 21 + 7x = (5 * 5 + x * 5) 21 + 7x = (25 + 5x) Solving 21 + 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. 21 + 7x + -5x = 25 + 5x + -5x Combine like terms: 7x + -5x = 2x 21 + 2x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 2x = 25 + 0 21 + 2x = 25 Add '-21' to each side of the equation. 21 + -21 + 2x = 25 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 25 + -21 2x = 25 + -21 Combine like terms: 25 + -21 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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