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Simplifying 82 = -6x + 2(-5x + -15) Reorder the terms: 82 = -6x + 2(-15 + -5x) 82 = -6x + (-15 * 2 + -5x * 2) 82 = -6x + (-30 + -10x) Reorder the terms: 82 = -30 + -6x + -10x Combine like terms: -6x + -10x = -16x 82 = -30 + -16x Solving 82 = -30 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 82 + 16x = -30 + -16x + 16x Combine like terms: -16x + 16x = 0 82 + 16x = -30 + 0 82 + 16x = -30 Add '-82' to each side of the equation. 82 + -82 + 16x = -30 + -82 Combine like terms: 82 + -82 = 0 0 + 16x = -30 + -82 16x = -30 + -82 Combine like terms: -30 + -82 = -112 16x = -112 Divide each side by '16'. x = -7 Simplifying x = -7
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