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Simplifying -5(10x + 8z) + -6(4x + -7z) = 0 (10x * -5 + 8z * -5) + -6(4x + -7z) = 0 (-50x + -40z) + -6(4x + -7z) = 0 -50x + -40z + (4x * -6 + -7z * -6) = 0 -50x + -40z + (-24x + 42z) = 0 Reorder the terms: -50x + -24x + -40z + 42z = 0 Combine like terms: -50x + -24x = -74x -74x + -40z + 42z = 0 Combine like terms: -40z + 42z = 2z -74x + 2z = 0 Solving -74x + 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. -74x + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 -74x + 0 = 0 + -2z -74x = 0 + -2z Remove the zero: -74x = -2z Divide each side by '-74'. x = 0.02702702703z Simplifying x = 0.02702702703z
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