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Simplifying (10x + 46) + (5x + 71) = z Reorder the terms: (46 + 10x) + (5x + 71) = z Remove parenthesis around (46 + 10x) 46 + 10x + (5x + 71) = z Reorder the terms: 46 + 10x + (71 + 5x) = z Remove parenthesis around (71 + 5x) 46 + 10x + 71 + 5x = z Reorder the terms: 46 + 71 + 10x + 5x = z Combine like terms: 46 + 71 = 117 117 + 10x + 5x = z Combine like terms: 10x + 5x = 15x 117 + 15x = z Solving 117 + 15x = z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-117' to each side of the equation. 117 + -117 + 15x = -117 + z Combine like terms: 117 + -117 = 0 0 + 15x = -117 + z 15x = -117 + z Divide each side by '15'. x = -7.8 + 0.06666666667z Simplifying x = -7.8 + 0.06666666667z
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