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Simplifying 12 + 35 + -9z = x + -10 + 7 Combine like terms: 12 + 35 = 47 47 + -9z = x + -10 + 7 Reorder the terms: 47 + -9z = -10 + 7 + x Combine like terms: -10 + 7 = -3 47 + -9z = -3 + x Solving 47 + -9z = -3 + x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -9z = -3 + -47 + x Combine like terms: 47 + -47 = 0 0 + -9z = -3 + -47 + x -9z = -3 + -47 + x Combine like terms: -3 + -47 = -50 -9z = -50 + x Divide each side by '-9'. z = 5.555555556 + -0.1111111111x Simplifying z = 5.555555556 + -0.1111111111x
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