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Simplifying 100 + 25x = 400 + -35x Solving 100 + 25x = 400 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 100 + 25x + 35x = 400 + -35x + 35x Combine like terms: 25x + 35x = 60x 100 + 60x = 400 + -35x + 35x Combine like terms: -35x + 35x = 0 100 + 60x = 400 + 0 100 + 60x = 400 Add '-100' to each side of the equation. 100 + -100 + 60x = 400 + -100 Combine like terms: 100 + -100 = 0 0 + 60x = 400 + -100 60x = 400 + -100 Combine like terms: 400 + -100 = 300 60x = 300 Divide each side by '60'. x = 5 Simplifying x = 5
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