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Simplifying -6(x + 5) + 4z = 0 Reorder the terms: -6(5 + x) + 4z = 0 (5 * -6 + x * -6) + 4z = 0 (-30 + -6x) + 4z = 0 Solving -30 + -6x + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -6x + 30 + 4z = 0 + 30 Reorder the terms: -30 + 30 + -6x + 4z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -6x + 4z = 0 + 30 -6x + 4z = 0 + 30 Combine like terms: 0 + 30 = 30 -6x + 4z = 30 Add '-4z' to each side of the equation. -6x + 4z + -4z = 30 + -4z Combine like terms: 4z + -4z = 0 -6x + 0 = 30 + -4z -6x = 30 + -4z Divide each side by '-6'. x = -5 + 0.6666666667z Simplifying x = -5 + 0.6666666667z
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