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Simplifying 12x + 7y + -5z + 8y + -4x + 11z = 0 Reorder the terms: 12x + -4x + 7y + 8y + -5z + 11z = 0 Combine like terms: 12x + -4x = 8x 8x + 7y + 8y + -5z + 11z = 0 Combine like terms: 7y + 8y = 15y 8x + 15y + -5z + 11z = 0 Combine like terms: -5z + 11z = 6z 8x + 15y + 6z = 0 Solving 8x + 15y + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. 8x + 15y + -15y + 6z = 0 + -15y Combine like terms: 15y + -15y = 0 8x + 0 + 6z = 0 + -15y 8x + 6z = 0 + -15y Remove the zero: 8x + 6z = -15y Add '-6z' to each side of the equation. 8x + 6z + -6z = -15y + -6z Combine like terms: 6z + -6z = 0 8x + 0 = -15y + -6z 8x = -15y + -6z Divide each side by '8'. x = -1.875y + -0.75z Simplifying x = -1.875y + -0.75z
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