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Simplifying 150(3 + -1x) = 250(x + -1) (3 * 150 + -1x * 150) = 250(x + -1) (450 + -150x) = 250(x + -1) Reorder the terms: 450 + -150x = 250(-1 + x) 450 + -150x = (-1 * 250 + x * 250) 450 + -150x = (-250 + 250x) Solving 450 + -150x = -250 + 250x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-250x' to each side of the equation. 450 + -150x + -250x = -250 + 250x + -250x Combine like terms: -150x + -250x = -400x 450 + -400x = -250 + 250x + -250x Combine like terms: 250x + -250x = 0 450 + -400x = -250 + 0 450 + -400x = -250 Add '-450' to each side of the equation. 450 + -450 + -400x = -250 + -450 Combine like terms: 450 + -450 = 0 0 + -400x = -250 + -450 -400x = -250 + -450 Combine like terms: -250 + -450 = -700 -400x = -700 Divide each side by '-400'. x = 1.75 Simplifying x = 1.75
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