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Simplifying 2z + -2(5x + -1) + 8z = 0 Reorder the terms: 2z + -2(-1 + 5x) + 8z = 0 2z + (-1 * -2 + 5x * -2) + 8z = 0 2z + (2 + -10x) + 8z = 0 Reorder the terms: 2 + -10x + 2z + 8z = 0 Combine like terms: 2z + 8z = 10z 2 + -10x + 10z = 0 Solving 2 + -10x + 10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -10x + -2 + 10z = 0 + -2 Reorder the terms: 2 + -2 + -10x + 10z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -10x + 10z = 0 + -2 -10x + 10z = 0 + -2 Combine like terms: 0 + -2 = -2 -10x + 10z = -2 Add '-10z' to each side of the equation. -10x + 10z + -10z = -2 + -10z Combine like terms: 10z + -10z = 0 -10x + 0 = -2 + -10z -10x = -2 + -10z Divide each side by '-10'. x = 0.2 + z Simplifying x = 0.2 + z
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