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Simplifying 10x + 20y + 30z = 10460 Solving 10x + 20y + 30z = 10460 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. 10x + 20y + -20y + 30z = 10460 + -20y Combine like terms: 20y + -20y = 0 10x + 0 + 30z = 10460 + -20y 10x + 30z = 10460 + -20y Add '-30z' to each side of the equation. 10x + 30z + -30z = 10460 + -20y + -30z Combine like terms: 30z + -30z = 0 10x + 0 = 10460 + -20y + -30z 10x = 10460 + -20y + -30z Divide each side by '10'. x = 1046 + -2y + -3z Simplifying x = 1046 + -2y + -3z
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