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Simplifying 10x + 3Y + 5Z + -5X + 2Z + -5Y = 0 Reorder the terms: -5X + 3Y + -5Y + 5Z + 2Z + 10x = 0 Combine like terms: 3Y + -5Y = -2Y -5X + -2Y + 5Z + 2Z + 10x = 0 Combine like terms: 5Z + 2Z = 7Z -5X + -2Y + 7Z + 10x = 0 Solving -5X + -2Y + 7Z + 10x = 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. -5X + -2Y + 7Z + 2Y + 10x = 0 + 2Y Reorder the terms: -5X + -2Y + 2Y + 7Z + 10x = 0 + 2Y Combine like terms: -2Y + 2Y = 0 -5X + 0 + 7Z + 10x = 0 + 2Y -5X + 7Z + 10x = 0 + 2Y Remove the zero: -5X + 7Z + 10x = 2Y Add '-7Z' to each side of the equation. -5X + 7Z + -7Z + 10x = 2Y + -7Z Combine like terms: 7Z + -7Z = 0 -5X + 0 + 10x = 2Y + -7Z -5X + 10x = 2Y + -7Z Add '-10x' to each side of the equation. -5X + 10x + -10x = 2Y + -7Z + -10x Combine like terms: 10x + -10x = 0 -5X + 0 = 2Y + -7Z + -10x -5X = 2Y + -7Z + -10x Divide each side by '-5'. X = -0.4Y + 1.4Z + 2x Simplifying X = -0.4Y + 1.4Z + 2x
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