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Simplifying 12x + 11 = 5(x + 5) Reorder the terms: 11 + 12x = 5(x + 5) Reorder the terms: 11 + 12x = 5(5 + x) 11 + 12x = (5 * 5 + x * 5) 11 + 12x = (25 + 5x) Solving 11 + 12x = 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. 11 + 12x + -5x = 25 + 5x + -5x Combine like terms: 12x + -5x = 7x 11 + 7x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 7x = 25 + 0 11 + 7x = 25 Add '-11' to each side of the equation. 11 + -11 + 7x = 25 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 25 + -11 7x = 25 + -11 Combine like terms: 25 + -11 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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