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Simplifying 150x + -450 + 300x + -375 = 400x + -300 Reorder the terms: -450 + -375 + 150x + 300x = 400x + -300 Combine like terms: -450 + -375 = -825 -825 + 150x + 300x = 400x + -300 Combine like terms: 150x + 300x = 450x -825 + 450x = 400x + -300 Reorder the terms: -825 + 450x = -300 + 400x Solving -825 + 450x = -300 + 400x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400x' to each side of the equation. -825 + 450x + -400x = -300 + 400x + -400x Combine like terms: 450x + -400x = 50x -825 + 50x = -300 + 400x + -400x Combine like terms: 400x + -400x = 0 -825 + 50x = -300 + 0 -825 + 50x = -300 Add '825' to each side of the equation. -825 + 825 + 50x = -300 + 825 Combine like terms: -825 + 825 = 0 0 + 50x = -300 + 825 50x = -300 + 825 Combine like terms: -300 + 825 = 525 50x = 525 Divide each side by '50'. x = 10.5 Simplifying x = 10.5
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