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Simplifying 3500 + 35x = 3100 + 45x Solving 3500 + 35x = 3100 + 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. 3500 + 35x + -45x = 3100 + 45x + -45x Combine like terms: 35x + -45x = -10x 3500 + -10x = 3100 + 45x + -45x Combine like terms: 45x + -45x = 0 3500 + -10x = 3100 + 0 3500 + -10x = 3100 Add '-3500' to each side of the equation. 3500 + -3500 + -10x = 3100 + -3500 Combine like terms: 3500 + -3500 = 0 0 + -10x = 3100 + -3500 -10x = 3100 + -3500 Combine like terms: 3100 + -3500 = -400 -10x = -400 Divide each side by '-10'. x = 40 Simplifying x = 40
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