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Simplifying -8(x + -1) = -2(x + -41) Reorder the terms: -8(-1 + x) = -2(x + -41) (-1 * -8 + x * -8) = -2(x + -41) (8 + -8x) = -2(x + -41) Reorder the terms: 8 + -8x = -2(-41 + x) 8 + -8x = (-41 * -2 + x * -2) 8 + -8x = (82 + -2x) Solving 8 + -8x = 82 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + -8x + 2x = 82 + -2x + 2x Combine like terms: -8x + 2x = -6x 8 + -6x = 82 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -6x = 82 + 0 8 + -6x = 82 Add '-8' to each side of the equation. 8 + -8 + -6x = 82 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 82 + -8 -6x = 82 + -8 Combine like terms: 82 + -8 = 74 -6x = 74 Divide each side by '-6'. x = -12.33333333 Simplifying x = -12.33333333
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