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Simplifying -1(6z + -5x) + 5(3z + -4x) + 30z = 0 Reorder the terms: -1(-5x + 6z) + 5(3z + -4x) + 30z = 0 (-5x * -1 + 6z * -1) + 5(3z + -4x) + 30z = 0 (5x + -6z) + 5(3z + -4x) + 30z = 0 Reorder the terms: 5x + -6z + 5(-4x + 3z) + 30z = 0 5x + -6z + (-4x * 5 + 3z * 5) + 30z = 0 5x + -6z + (-20x + 15z) + 30z = 0 Reorder the terms: 5x + -20x + -6z + 15z + 30z = 0 Combine like terms: 5x + -20x = -15x -15x + -6z + 15z + 30z = 0 Combine like terms: -6z + 15z = 9z -15x + 9z + 30z = 0 Combine like terms: 9z + 30z = 39z -15x + 39z = 0 Solving -15x + 39z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39z' to each side of the equation. -15x + 39z + -39z = 0 + -39z Combine like terms: 39z + -39z = 0 -15x + 0 = 0 + -39z -15x = 0 + -39z Remove the zero: -15x = -39z Divide each side by '-15'. x = 2.6z Simplifying x = 2.6z
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