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Simplifying -10z + 50 + 2(5x + -21) = 0 Reorder the terms: -10z + 50 + 2(-21 + 5x) = 0 -10z + 50 + (-21 * 2 + 5x * 2) = 0 -10z + 50 + (-42 + 10x) = 0 Reorder the terms: 50 + -42 + 10x + -10z = 0 Combine like terms: 50 + -42 = 8 8 + 10x + -10z = 0 Solving 8 + 10x + -10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 10x + -8 + -10z = 0 + -8 Reorder the terms: 8 + -8 + 10x + -10z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 10x + -10z = 0 + -8 10x + -10z = 0 + -8 Combine like terms: 0 + -8 = -8 10x + -10z = -8 Add '10z' to each side of the equation. 10x + -10z + 10z = -8 + 10z Combine like terms: -10z + 10z = 0 10x + 0 = -8 + 10z 10x = -8 + 10z Divide each side by '10'. x = -0.8 + z Simplifying x = -0.8 + z
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