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Simplifying 1x + 2y + 4z = 1000 Solving 1x + 2y + 4z = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 1x + 2y + -2y + 4z = 1000 + -2y Combine like terms: 2y + -2y = 0 1x + 0 + 4z = 1000 + -2y 1x + 4z = 1000 + -2y Add '-4z' to each side of the equation. 1x + 4z + -4z = 1000 + -2y + -4z Combine like terms: 4z + -4z = 0 1x + 0 = 1000 + -2y + -4z 1x = 1000 + -2y + -4z Divide each side by '1'. x = 1000 + -2y + -4z Simplifying x = 1000 + -2y + -4z
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