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Simplifying -1(x + 5) + x = -6(8 + -1x) Reorder the terms: -1(5 + x) + x = -6(8 + -1x) (5 * -1 + x * -1) + x = -6(8 + -1x) (-5 + -1x) + x = -6(8 + -1x) Combine like terms: -1x + x = 0 -5 + 0 = -6(8 + -1x) -5 = -6(8 + -1x) -5 = (8 * -6 + -1x * -6) -5 = (-48 + 6x) Solving -5 = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + -6x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -6x = -48 + 0 -5 + -6x = -48 Add '5' to each side of the equation. -5 + 5 + -6x = -48 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -48 + 5 -6x = -48 + 5 Combine like terms: -48 + 5 = -43 -6x = -43 Divide each side by '-6'. x = 7.166666667 Simplifying x = 7.166666667
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