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Simplifying 19x + -1(6x + -4) = 82 Reorder the terms: 19x + -1(-4 + 6x) = 82 19x + (-4 * -1 + 6x * -1) = 82 19x + (4 + -6x) = 82 Reorder the terms: 4 + 19x + -6x = 82 Combine like terms: 19x + -6x = 13x 4 + 13x = 82 Solving 4 + 13x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13x = 82 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 82 + -4 13x = 82 + -4 Combine like terms: 82 + -4 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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