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Simplifying 11(x + 2) = 6(x + 7) Reorder the terms: 11(2 + x) = 6(x + 7) (2 * 11 + x * 11) = 6(x + 7) (22 + 11x) = 6(x + 7) Reorder the terms: 22 + 11x = 6(7 + x) 22 + 11x = (7 * 6 + x * 6) 22 + 11x = (42 + 6x) Solving 22 + 11x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 22 + 11x + -6x = 42 + 6x + -6x Combine like terms: 11x + -6x = 5x 22 + 5x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + 5x = 42 + 0 22 + 5x = 42 Add '-22' to each side of the equation. 22 + -22 + 5x = 42 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 42 + -22 5x = 42 + -22 Combine like terms: 42 + -22 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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