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Simplifying 0.4x + 1.5y + 6z = 29.5 Solving 0.4x + 1.5y + 6z = 29.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5y' to each side of the equation. 0.4x + 1.5y + -1.5y + 6z = 29.5 + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 0.4x + 0.0 + 6z = 29.5 + -1.5y 0.4x + 6z = 29.5 + -1.5y Add '-6z' to each side of the equation. 0.4x + 6z + -6z = 29.5 + -1.5y + -6z Combine like terms: 6z + -6z = 0 0.4x + 0 = 29.5 + -1.5y + -6z 0.4x = 29.5 + -1.5y + -6z Divide each side by '0.4'. x = 73.75 + -3.75y + -15z Simplifying x = 73.75 + -3.75y + -15z
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