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Simplifying (11x + 27) = 2(5x + 23) Reorder the terms: (27 + 11x) = 2(5x + 23) Remove parenthesis around (27 + 11x) 27 + 11x = 2(5x + 23) Reorder the terms: 27 + 11x = 2(23 + 5x) 27 + 11x = (23 * 2 + 5x * 2) 27 + 11x = (46 + 10x) Solving 27 + 11x = 46 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 27 + 11x + -10x = 46 + 10x + -10x Combine like terms: 11x + -10x = 1x 27 + 1x = 46 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + 1x = 46 + 0 27 + 1x = 46 Add '-27' to each side of the equation. 27 + -27 + 1x = 46 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 46 + -27 1x = 46 + -27 Combine like terms: 46 + -27 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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