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Simplifying 6(2x + 3) = 11(x + 2) Reorder the terms: 6(3 + 2x) = 11(x + 2) (3 * 6 + 2x * 6) = 11(x + 2) (18 + 12x) = 11(x + 2) Reorder the terms: 18 + 12x = 11(2 + x) 18 + 12x = (2 * 11 + x * 11) 18 + 12x = (22 + 11x) Solving 18 + 12x = 22 + 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 + 12x + -11x = 22 + 11x + -11x Combine like terms: 12x + -11x = 1x 18 + 1x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 18 + 1x = 22 + 0 18 + 1x = 22 Add '-18' to each side of the equation. 18 + -18 + 1x = 22 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 22 + -18 1x = 22 + -18 Combine like terms: 22 + -18 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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