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Simplifying -10x + 3z + -2x + -5z + 30x = 0 Reorder the terms: -10x + -2x + 30x + 3z + -5z = 0 Combine like terms: -10x + -2x = -12x -12x + 30x + 3z + -5z = 0 Combine like terms: -12x + 30x = 18x 18x + 3z + -5z = 0 Combine like terms: 3z + -5z = -2z 18x + -2z = 0 Solving 18x + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2z' to each side of the equation. 18x + -2z + 2z = 0 + 2z Combine like terms: -2z + 2z = 0 18x + 0 = 0 + 2z 18x = 0 + 2z Remove the zero: 18x = 2z Divide each side by '18'. x = 0.1111111111z Simplifying x = 0.1111111111z
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