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Simplifying 55x = 45(x + 40) Reorder the terms: 55x = 45(40 + x) 55x = (40 * 45 + x * 45) 55x = (1800 + 45x) Solving 55x = 1800 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 55x + -45x = 1800 + 45x + -45x Combine like terms: 55x + -45x = 10x 10x = 1800 + 45x + -45x Combine like terms: 45x + -45x = 0 10x = 1800 + 0 10x = 1800 Divide each side by '10'. x = 180 Simplifying x = 180
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