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Simplifying -6z + -1(2x + 8) + 10z = 0 Reorder the terms: -6z + -1(8 + 2x) + 10z = 0 -6z + (8 * -1 + 2x * -1) + 10z = 0 -6z + (-8 + -2x) + 10z = 0 Reorder the terms: -8 + -2x + -6z + 10z = 0 Combine like terms: -6z + 10z = 4z -8 + -2x + 4z = 0 Solving -8 + -2x + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2x + 8 + 4z = 0 + 8 Reorder the terms: -8 + 8 + -2x + 4z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2x + 4z = 0 + 8 -2x + 4z = 0 + 8 Combine like terms: 0 + 8 = 8 -2x + 4z = 8 Add '-4z' to each side of the equation. -2x + 4z + -4z = 8 + -4z Combine like terms: 4z + -4z = 0 -2x + 0 = 8 + -4z -2x = 8 + -4z Divide each side by '-2'. x = -4 + 2z Simplifying x = -4 + 2z
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