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Simplifying 450(x + 1) = 500(x + 1) Reorder the terms: 450(1 + x) = 500(x + 1) (1 * 450 + x * 450) = 500(x + 1) (450 + 450x) = 500(x + 1) Reorder the terms: 450 + 450x = 500(1 + x) 450 + 450x = (1 * 500 + x * 500) 450 + 450x = (500 + 500x) Solving 450 + 450x = 500 + 500x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500x' to each side of the equation. 450 + 450x + -500x = 500 + 500x + -500x Combine like terms: 450x + -500x = -50x 450 + -50x = 500 + 500x + -500x Combine like terms: 500x + -500x = 0 450 + -50x = 500 + 0 450 + -50x = 500 Add '-450' to each side of the equation. 450 + -450 + -50x = 500 + -450 Combine like terms: 450 + -450 = 0 0 + -50x = 500 + -450 -50x = 500 + -450 Combine like terms: 500 + -450 = 50 -50x = 50 Divide each side by '-50'. x = -1 Simplifying x = -1
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