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Simplifying 400 + x = 250 + 0.25x Solving 400 + x = 250 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 400 + x + -0.25x = 250 + 0.25x + -0.25x Combine like terms: x + -0.25x = 0.75x 400 + 0.75x = 250 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 400 + 0.75x = 250 + 0.00 400 + 0.75x = 250 Add '-400' to each side of the equation. 400 + -400 + 0.75x = 250 + -400 Combine like terms: 400 + -400 = 0 0 + 0.75x = 250 + -400 0.75x = 250 + -400 Combine like terms: 250 + -400 = -150 0.75x = -150 Divide each side by '0.75'. x = -200 Simplifying x = -200
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