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