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Simplifying (x * 2) + -1(y + 400) = 150 Reorder the terms for easier multiplication: (2x) + -1(y + 400) = 150 Reorder the terms: (2x) + -1(400 + y) = 150 (2x) + (400 * -1 + y * -1) = 150 (2x) + (-400 + -1y) = 150 Reorder the terms: -400 + (2x) + -1y = 150 Solving -400 + (2x) + -1y = 150 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 + (2x) + 400 + -1y = 150 + 400 Reorder the terms: -400 + 400 + (2x) + -1y = 150 + 400 Combine like terms: -400 + 400 = 0 0 + (2x) + -1y = 150 + 400 (2x) + -1y = 150 + 400 Combine like terms: 150 + 400 = 550 (2x) + -1y = 550 Add 'y' to each side of the equation. (2x) + -1y + y = 550 + y Combine like terms: -1y + y = 0 (2x) + 0 = 550 + y (2x) = 550 + y Divide each side by '2'. x = 275 + 0.5y Simplifying x = 275 + 0.5y
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