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Simplifying 550 = 1.25x + (0.75x + -250) Reorder the terms: 550 = 1.25x + (-250 + 0.75x) Remove parenthesis around (-250 + 0.75x) 550 = 1.25x + -250 + 0.75x Reorder the terms: 550 = -250 + 1.25x + 0.75x Combine like terms: 1.25x + 0.75x = 2x 550 = -250 + 2x Solving 550 = -250 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 550 + -2x = -250 + 2x + -2x Combine like terms: 2x + -2x = 0 550 + -2x = -250 + 0 550 + -2x = -250 Add '-550' to each side of the equation. 550 + -550 + -2x = -250 + -550 Combine like terms: 550 + -550 = 0 0 + -2x = -250 + -550 -2x = -250 + -550 Combine like terms: -250 + -550 = -800 -2x = -800 Divide each side by '-2'. x = 400 Simplifying x = 400
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