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Simplifying 2(-5x + 1) + -6x = 82 Reorder the terms: 2(1 + -5x) + -6x = 82 (1 * 2 + -5x * 2) + -6x = 82 (2 + -10x) + -6x = 82 Combine like terms: -10x + -6x = -16x 2 + -16x = 82 Solving 2 + -16x = 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 + -16x = 82 + -2 Combine like terms: 2 + -2 = 0 0 + -16x = 82 + -2 -16x = 82 + -2 Combine like terms: 82 + -2 = 80 -16x = 80 Divide each side by '-16'. x = -5 Simplifying x = -5
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