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Simplifying 45x = 55(x + 40) Reorder the terms: 45x = 55(40 + x) 45x = (40 * 55 + x * 55) 45x = (2200 + 55x) Solving 45x = 2200 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 45x + -55x = 2200 + 55x + -55x Combine like terms: 45x + -55x = -10x -10x = 2200 + 55x + -55x Combine like terms: 55x + -55x = 0 -10x = 2200 + 0 -10x = 2200 Divide each side by '-10'. x = -220 Simplifying x = -220
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