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Simplifying 5000 + 1500 + 45x = 5500 + 55x Combine like terms: 5000 + 1500 = 6500 6500 + 45x = 5500 + 55x Solving 6500 + 45x = 5500 + 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. 6500 + 45x + -55x = 5500 + 55x + -55x Combine like terms: 45x + -55x = -10x 6500 + -10x = 5500 + 55x + -55x Combine like terms: 55x + -55x = 0 6500 + -10x = 5500 + 0 6500 + -10x = 5500 Add '-6500' to each side of the equation. 6500 + -6500 + -10x = 5500 + -6500 Combine like terms: 6500 + -6500 = 0 0 + -10x = 5500 + -6500 -10x = 5500 + -6500 Combine like terms: 5500 + -6500 = -1000 -10x = -1000 Divide each side by '-10'. x = 100 Simplifying x = 100
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