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Simplifying 10x + 8y + z = 100 Solving 10x + 8y + z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 10x + 8y + -8y + z = 100 + -8y Combine like terms: 8y + -8y = 0 10x + 0 + z = 100 + -8y 10x + z = 100 + -8y Add '-1z' to each side of the equation. 10x + z + -1z = 100 + -8y + -1z Combine like terms: z + -1z = 0 10x + 0 = 100 + -8y + -1z 10x = 100 + -8y + -1z Divide each side by '10'. x = 10 + -0.8y + -0.1z Simplifying x = 10 + -0.8y + -0.1z
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