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Simplifying 3x + 10 + z + 32 = 180 Reorder the terms: 10 + 32 + 3x + z = 180 Combine like terms: 10 + 32 = 42 42 + 3x + z = 180 Solving 42 + 3x + z = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 3x + -42 + z = 180 + -42 Reorder the terms: 42 + -42 + 3x + z = 180 + -42 Combine like terms: 42 + -42 = 0 0 + 3x + z = 180 + -42 3x + z = 180 + -42 Combine like terms: 180 + -42 = 138 3x + z = 138 Add '-1z' to each side of the equation. 3x + z + -1z = 138 + -1z Combine like terms: z + -1z = 0 3x + 0 = 138 + -1z 3x = 138 + -1z Divide each side by '3'. x = 46 + -0.3333333333z Simplifying x = 46 + -0.3333333333z
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