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Simplifying 82 = -5(-6x + -2) + -6x Reorder the terms: 82 = -5(-2 + -6x) + -6x 82 = (-2 * -5 + -6x * -5) + -6x 82 = (10 + 30x) + -6x Combine like terms: 30x + -6x = 24x 82 = 10 + 24x Solving 82 = 10 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 82 + -24x = 10 + 24x + -24x Combine like terms: 24x + -24x = 0 82 + -24x = 10 + 0 82 + -24x = 10 Add '-82' to each side of the equation. 82 + -82 + -24x = 10 + -82 Combine like terms: 82 + -82 = 0 0 + -24x = 10 + -82 -24x = 10 + -82 Combine like terms: 10 + -82 = -72 -24x = -72 Divide each side by '-24'. x = 3 Simplifying x = 3
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