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Simplifying 15x + -1y + 5(3x + -2y + 5z) = 0 15x + -1y + (3x * 5 + -2y * 5 + 5z * 5) = 0 15x + -1y + (15x + -10y + 25z) = 0 Reorder the terms: 15x + 15x + -1y + -10y + 25z = 0 Combine like terms: 15x + 15x = 30x 30x + -1y + -10y + 25z = 0 Combine like terms: -1y + -10y = -11y 30x + -11y + 25z = 0 Solving 30x + -11y + 25z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 30x + -11y + 11y + 25z = 0 + 11y Combine like terms: -11y + 11y = 0 30x + 0 + 25z = 0 + 11y 30x + 25z = 0 + 11y Remove the zero: 30x + 25z = 11y Add '-25z' to each side of the equation. 30x + 25z + -25z = 11y + -25z Combine like terms: 25z + -25z = 0 30x + 0 = 11y + -25z 30x = 11y + -25z Divide each side by '30'. x = 0.3666666667y + -0.8333333333z Simplifying x = 0.3666666667y + -0.8333333333z
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