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Simplifying (2x + 6) + (10x + -5) = 61 Reorder the terms: (6 + 2x) + (10x + -5) = 61 Remove parenthesis around (6 + 2x) 6 + 2x + (10x + -5) = 61 Reorder the terms: 6 + 2x + (-5 + 10x) = 61 Remove parenthesis around (-5 + 10x) 6 + 2x + -5 + 10x = 61 Reorder the terms: 6 + -5 + 2x + 10x = 61 Combine like terms: 6 + -5 = 1 1 + 2x + 10x = 61 Combine like terms: 2x + 10x = 12x 1 + 12x = 61 Solving 1 + 12x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 12x = 61 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 61 + -1 12x = 61 + -1 Combine like terms: 61 + -1 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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