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Simplifying -1(5 + -1x) = -6(x + -1) (5 * -1 + -1x * -1) = -6(x + -1) (-5 + 1x) = -6(x + -1) Reorder the terms: -5 + 1x = -6(-1 + x) -5 + 1x = (-1 * -6 + x * -6) -5 + 1x = (6 + -6x) Solving -5 + 1x = 6 + -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 + 1x + 6x = 6 + -6x + 6x Combine like terms: 1x + 6x = 7x -5 + 7x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 7x = 6 + 0 -5 + 7x = 6 Add '5' to each side of the equation. -5 + 5 + 7x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 6 + 5 7x = 6 + 5 Combine like terms: 6 + 5 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571
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