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Simplifying 45x + (400(x + -1)) = 1000 Reorder the terms: 45x + (400(-1 + x)) = 1000 45x + ((-1 * 400 + x * 400)) = 1000 45x + ((-400 + 400x)) = 1000 45x + (-400 + 400x) = 1000 Remove parenthesis around (-400 + 400x) 45x + -400 + 400x = 1000 Reorder the terms: -400 + 45x + 400x = 1000 Combine like terms: 45x + 400x = 445x -400 + 445x = 1000 Solving -400 + 445x = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '400' to each side of the equation. -400 + 400 + 445x = 1000 + 400 Combine like terms: -400 + 400 = 0 0 + 445x = 1000 + 400 445x = 1000 + 400 Combine like terms: 1000 + 400 = 1400 445x = 1400 Divide each side by '445'. x = 3.146067416 Simplifying x = 3.146067416
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