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Simplifying 11(x + 1) = 5(x + 7) Reorder the terms: 11(1 + x) = 5(x + 7) (1 * 11 + x * 11) = 5(x + 7) (11 + 11x) = 5(x + 7) Reorder the terms: 11 + 11x = 5(7 + x) 11 + 11x = (7 * 5 + x * 5) 11 + 11x = (35 + 5x) Solving 11 + 11x = 35 + 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 + 11x + -5x = 35 + 5x + -5x Combine like terms: 11x + -5x = 6x 11 + 6x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 6x = 35 + 0 11 + 6x = 35 Add '-11' to each side of the equation. 11 + -11 + 6x = 35 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 35 + -11 6x = 35 + -11 Combine like terms: 35 + -11 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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