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Simplifying 2(x + 9) = 11x Reorder the terms: 2(9 + x) = 11x (9 * 2 + x * 2) = 11x (18 + 2x) = 11x Solving 18 + 2x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 18 + 2x + -11x = 11x + -11x Combine like terms: 2x + -11x = -9x 18 + -9x = 11x + -11x Combine like terms: 11x + -11x = 0 18 + -9x = 0 Add '-18' to each side of the equation. 18 + -18 + -9x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 0 + -18 -9x = 0 + -18 Combine like terms: 0 + -18 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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