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Simplifying 5(3x + 2z) = 0 (3x * 5 + 2z * 5) = 0 (15x + 10z) = 0 Solving 15x + 10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10z' to each side of the equation. 15x + 10z + -10z = 0 + -10z Combine like terms: 10z + -10z = 0 15x + 0 = 0 + -10z 15x = 0 + -10z Remove the zero: 15x = -10z Divide each side by '15'. x = -0.6666666667z Simplifying x = -0.6666666667z
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