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Simplifying 82 = -2x + -2(-6x + 14) Reorder the terms: 82 = -2x + -2(14 + -6x) 82 = -2x + (14 * -2 + -6x * -2) 82 = -2x + (-28 + 12x) Reorder the terms: 82 = -28 + -2x + 12x Combine like terms: -2x + 12x = 10x 82 = -28 + 10x Solving 82 = -28 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 82 + -10x = -28 + 10x + -10x Combine like terms: 10x + -10x = 0 82 + -10x = -28 + 0 82 + -10x = -28 Add '-82' to each side of the equation. 82 + -82 + -10x = -28 + -82 Combine like terms: 82 + -82 = 0 0 + -10x = -28 + -82 -10x = -28 + -82 Combine like terms: -28 + -82 = -110 -10x = -110 Divide each side by '-10'. x = 11 Simplifying x = 11
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