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Simplifying 10(5 + 4x + z) = 0 (5 * 10 + 4x * 10 + z * 10) = 0 (50 + 40x + 10z) = 0 Solving 50 + 40x + 10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 40x + -50 + 10z = 0 + -50 Reorder the terms: 50 + -50 + 40x + 10z = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 40x + 10z = 0 + -50 40x + 10z = 0 + -50 Combine like terms: 0 + -50 = -50 40x + 10z = -50 Add '-10z' to each side of the equation. 40x + 10z + -10z = -50 + -10z Combine like terms: 10z + -10z = 0 40x + 0 = -50 + -10z 40x = -50 + -10z Divide each side by '40'. x = -1.25 + -0.25z Simplifying x = -1.25 + -0.25z
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