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Simplifying 2x + 3y + 4z = 1000 Solving 2x + 3y + 4z = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x + 3y + -3y + 4z = 1000 + -3y Combine like terms: 3y + -3y = 0 2x + 0 + 4z = 1000 + -3y 2x + 4z = 1000 + -3y Add '-4z' to each side of the equation. 2x + 4z + -4z = 1000 + -3y + -4z Combine like terms: 4z + -4z = 0 2x + 0 = 1000 + -3y + -4z 2x = 1000 + -3y + -4z Divide each side by '2'. x = 500 + -1.5y + -2z Simplifying x = 500 + -1.5y + -2z
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