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Simplifying 11x + 9 = 5x + 45 Reorder the terms: 9 + 11x = 5x + 45 Reorder the terms: 9 + 11x = 45 + 5x Solving 9 + 11x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 11x + -5x = 45 + 5x + -5x Combine like terms: 11x + -5x = 6x 9 + 6x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 6x = 45 + 0 9 + 6x = 45 Add '-9' to each side of the equation. 9 + -9 + 6x = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 45 + -9 6x = 45 + -9 Combine like terms: 45 + -9 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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