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Simplifying 7X + 3Y + 5Z + -4X + 2Z + -5Y = 0 Reorder the terms: 7X + -4X + 3Y + -5Y + 5Z + 2Z = 0 Combine like terms: 7X + -4X = 3X 3X + 3Y + -5Y + 5Z + 2Z = 0 Combine like terms: 3Y + -5Y = -2Y 3X + -2Y + 5Z + 2Z = 0 Combine like terms: 5Z + 2Z = 7Z 3X + -2Y + 7Z = 0 Solving 3X + -2Y + 7Z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2Y' to each side of the equation. 3X + -2Y + 2Y + 7Z = 0 + 2Y Combine like terms: -2Y + 2Y = 0 3X + 0 + 7Z = 0 + 2Y 3X + 7Z = 0 + 2Y Remove the zero: 3X + 7Z = 2Y Add '-7Z' to each side of the equation. 3X + 7Z + -7Z = 2Y + -7Z Combine like terms: 7Z + -7Z = 0 3X + 0 = 2Y + -7Z 3X = 2Y + -7Z Divide each side by '3'. X = 0.6666666667Y + -2.333333333Z Simplifying X = 0.6666666667Y + -2.333333333Z
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