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Simplifying z + (6x + 42) = 180 Reorder the terms: z + (42 + 6x) = 180 Remove parenthesis around (42 + 6x) z + 42 + 6x = 180 Reorder the terms: 42 + 6x + z = 180 Solving 42 + 6x + 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 + 6x + -42 + z = 180 + -42 Reorder the terms: 42 + -42 + 6x + z = 180 + -42 Combine like terms: 42 + -42 = 0 0 + 6x + z = 180 + -42 6x + z = 180 + -42 Combine like terms: 180 + -42 = 138 6x + z = 138 Add '-1z' to each side of the equation. 6x + z + -1z = 138 + -1z Combine like terms: z + -1z = 0 6x + 0 = 138 + -1z 6x = 138 + -1z Divide each side by '6'. x = 23 + -0.1666666667z Simplifying x = 23 + -0.1666666667z
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