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Simplifying -82 = 4x + -6(-1x + 2) Reorder the terms: -82 = 4x + -6(2 + -1x) -82 = 4x + (2 * -6 + -1x * -6) -82 = 4x + (-12 + 6x) Reorder the terms: -82 = -12 + 4x + 6x Combine like terms: 4x + 6x = 10x -82 = -12 + 10x Solving -82 = -12 + 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 = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -82 + -10x = -12 + 0 -82 + -10x = -12 Add '82' to each side of the equation. -82 + 82 + -10x = -12 + 82 Combine like terms: -82 + 82 = 0 0 + -10x = -12 + 82 -10x = -12 + 82 Combine like terms: -12 + 82 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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