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Simplifying 11x + 23 = 9x + 45 Reorder the terms: 23 + 11x = 9x + 45 Reorder the terms: 23 + 11x = 45 + 9x Solving 23 + 11x = 45 + 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. 23 + 11x + -9x = 45 + 9x + -9x Combine like terms: 11x + -9x = 2x 23 + 2x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 23 + 2x = 45 + 0 23 + 2x = 45 Add '-23' to each side of the equation. 23 + -23 + 2x = 45 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 45 + -23 2x = 45 + -23 Combine like terms: 45 + -23 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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