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Simplifying 82 = -3x + 2(-6x + -4) Reorder the terms: 82 = -3x + 2(-4 + -6x) 82 = -3x + (-4 * 2 + -6x * 2) 82 = -3x + (-8 + -12x) Reorder the terms: 82 = -8 + -3x + -12x Combine like terms: -3x + -12x = -15x 82 = -8 + -15x Solving 82 = -8 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 82 + 15x = -8 + -15x + 15x Combine like terms: -15x + 15x = 0 82 + 15x = -8 + 0 82 + 15x = -8 Add '-82' to each side of the equation. 82 + -82 + 15x = -8 + -82 Combine like terms: 82 + -82 = 0 0 + 15x = -8 + -82 15x = -8 + -82 Combine like terms: -8 + -82 = -90 15x = -90 Divide each side by '15'. x = -6 Simplifying x = -6
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