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Simplifying 7x + y + y + 2z + -5x + -1y = 0 Reorder the terms: 7x + -5x + y + y + -1y + 2z = 0 Combine like terms: 7x + -5x = 2x 2x + y + y + -1y + 2z = 0 Combine like terms: y + y = 2y 2x + 2y + -1y + 2z = 0 Combine like terms: 2y + -1y = 1y 2x + 1y + 2z = 0 Solving 2x + 1y + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + 1y + -1y + 2z = 0 + -1y Combine like terms: 1y + -1y = 0 2x + 0 + 2z = 0 + -1y 2x + 2z = 0 + -1y Remove the zero: 2x + 2z = -1y Add '-2z' to each side of the equation. 2x + 2z + -2z = -1y + -2z Combine like terms: 2z + -2z = 0 2x + 0 = -1y + -2z 2x = -1y + -2z Divide each side by '2'. x = -0.5y + -1z Simplifying x = -0.5y + -1z
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