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Simplifying 25(x) + 100 = 35(x) + 400 Reorder the terms: 100 + 25x = 35(x) + 400 Reorder the terms: 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 = -10x 100 + -10x = 400 + 35x + -35x Combine like terms: 35x + -35x = 0 100 + -10x = 400 + 0 100 + -10x = 400 Add '-100' to each side of the equation. 100 + -100 + -10x = 400 + -100 Combine like terms: 100 + -100 = 0 0 + -10x = 400 + -100 -10x = 400 + -100 Combine like terms: 400 + -100 = 300 -10x = 300 Divide each side by '-10'. x = -30 Simplifying x = -30
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