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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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