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Simplifying 12x + -1(5x + -5) = 61 Reorder the terms: 12x + -1(-5 + 5x) = 61 12x + (-5 * -1 + 5x * -1) = 61 12x + (5 + -5x) = 61 Reorder the terms: 5 + 12x + -5x = 61 Combine like terms: 12x + -5x = 7x 5 + 7x = 61 Solving 5 + 7x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 61 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 61 + -5 7x = 61 + -5 Combine like terms: 61 + -5 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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