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Simplifying 6x + 10y + 15z = 1 Solving 6x + 10y + 15z = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 6x + 10y + -10y + 15z = 1 + -10y Combine like terms: 10y + -10y = 0 6x + 0 + 15z = 1 + -10y 6x + 15z = 1 + -10y Add '-15z' to each side of the equation. 6x + 15z + -15z = 1 + -10y + -15z Combine like terms: 15z + -15z = 0 6x + 0 = 1 + -10y + -15z 6x = 1 + -10y + -15z Divide each side by '6'. x = 0.1666666667 + -1.666666667y + -2.5z Simplifying x = 0.1666666667 + -1.666666667y + -2.5z
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