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Simplifying 7x + -3y + 5z + -3x + 8y + -2x = 0 Reorder the terms: 7x + -3x + -2x + -3y + 8y + 5z = 0 Combine like terms: 7x + -3x = 4x 4x + -2x + -3y + 8y + 5z = 0 Combine like terms: 4x + -2x = 2x 2x + -3y + 8y + 5z = 0 Combine like terms: -3y + 8y = 5y 2x + 5y + 5z = 0 Solving 2x + 5y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 2x + 5y + -5y + 5z = 0 + -5y Combine like terms: 5y + -5y = 0 2x + 0 + 5z = 0 + -5y 2x + 5z = 0 + -5y Remove the zero: 2x + 5z = -5y Add '-5z' to each side of the equation. 2x + 5z + -5z = -5y + -5z Combine like terms: 5z + -5z = 0 2x + 0 = -5y + -5z 2x = -5y + -5z Divide each side by '2'. x = -2.5y + -2.5z Simplifying x = -2.5y + -2.5z
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