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Simplifying -5(x + -1) = 6(x + -4) Reorder the terms: -5(-1 + x) = 6(x + -4) (-1 * -5 + x * -5) = 6(x + -4) (5 + -5x) = 6(x + -4) Reorder the terms: 5 + -5x = 6(-4 + x) 5 + -5x = (-4 * 6 + x * 6) 5 + -5x = (-24 + 6x) Solving 5 + -5x = -24 + 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 + -5x + -6x = -24 + 6x + -6x Combine like terms: -5x + -6x = -11x 5 + -11x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -11x = -24 + 0 5 + -11x = -24 Add '-5' to each side of the equation. 5 + -5 + -11x = -24 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = -24 + -5 -11x = -24 + -5 Combine like terms: -24 + -5 = -29 -11x = -29 Divide each side by '-11'. x = 2.636363636 Simplifying x = 2.636363636
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