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Simplifying -82 = -2x + -3(-2x + 14) Reorder the terms: -82 = -2x + -3(14 + -2x) -82 = -2x + (14 * -3 + -2x * -3) -82 = -2x + (-42 + 6x) Reorder the terms: -82 = -42 + -2x + 6x Combine like terms: -2x + 6x = 4x -82 = -42 + 4x Solving -82 = -42 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -82 + -4x = -42 + 4x + -4x Combine like terms: 4x + -4x = 0 -82 + -4x = -42 + 0 -82 + -4x = -42 Add '82' to each side of the equation. -82 + 82 + -4x = -42 + 82 Combine like terms: -82 + 82 = 0 0 + -4x = -42 + 82 -4x = -42 + 82 Combine like terms: -42 + 82 = 40 -4x = 40 Divide each side by '-4'. x = -10 Simplifying x = -10
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