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Simplifying 19x + -1(7x + -2) = 82 Reorder the terms: 19x + -1(-2 + 7x) = 82 19x + (-2 * -1 + 7x * -1) = 82 19x + (2 + -7x) = 82 Reorder the terms: 2 + 19x + -7x = 82 Combine like terms: 19x + -7x = 12x 2 + 12x = 82 Solving 2 + 12x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12x = 82 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 82 + -2 12x = 82 + -2 Combine like terms: 82 + -2 = 80 12x = 80 Divide each side by '12'. x = 6.666666667 Simplifying x = 6.666666667
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