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Simplifying 8x + -5y + 5z = 1 Solving 8x + -5y + 5z = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 8x + -5y + 5y + 5z = 1 + 5y Combine like terms: -5y + 5y = 0 8x + 0 + 5z = 1 + 5y 8x + 5z = 1 + 5y Add '-5z' to each side of the equation. 8x + 5z + -5z = 1 + 5y + -5z Combine like terms: 5z + -5z = 0 8x + 0 = 1 + 5y + -5z 8x = 1 + 5y + -5z Divide each side by '8'. x = 0.125 + 0.625y + -0.625z Simplifying x = 0.125 + 0.625y + -0.625z
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