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Simplifying 700x + -500y + -100z = 0 Solving 700x + -500y + -100z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '500y' to each side of the equation. 700x + -500y + 500y + -100z = 0 + 500y Combine like terms: -500y + 500y = 0 700x + 0 + -100z = 0 + 500y 700x + -100z = 0 + 500y Remove the zero: 700x + -100z = 500y Add '100z' to each side of the equation. 700x + -100z + 100z = 500y + 100z Combine like terms: -100z + 100z = 0 700x + 0 = 500y + 100z 700x = 500y + 100z Divide each side by '700'. x = 0.7142857143y + 0.1428571429z Simplifying x = 0.7142857143y + 0.1428571429z
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