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Simplifying 11(x + 1) = 9x + 5 Reorder the terms: 11(1 + x) = 9x + 5 (1 * 11 + x * 11) = 9x + 5 (11 + 11x) = 9x + 5 Reorder the terms: 11 + 11x = 5 + 9x Solving 11 + 11x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 11 + 11x + -9x = 5 + 9x + -9x Combine like terms: 11x + -9x = 2x 11 + 2x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + 2x = 5 + 0 11 + 2x = 5 Add '-11' to each side of the equation. 11 + -11 + 2x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 5 + -11 2x = 5 + -11 Combine like terms: 5 + -11 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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