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Simplifying 5 + -11(x + -5) = -1(6 + 5x) Reorder the terms: 5 + -11(-5 + x) = -1(6 + 5x) 5 + (-5 * -11 + x * -11) = -1(6 + 5x) 5 + (55 + -11x) = -1(6 + 5x) Combine like terms: 5 + 55 = 60 60 + -11x = -1(6 + 5x) 60 + -11x = (6 * -1 + 5x * -1) 60 + -11x = (-6 + -5x) Solving 60 + -11x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 60 + -11x + 5x = -6 + -5x + 5x Combine like terms: -11x + 5x = -6x 60 + -6x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 60 + -6x = -6 + 0 60 + -6x = -6 Add '-60' to each side of the equation. 60 + -60 + -6x = -6 + -60 Combine like terms: 60 + -60 = 0 0 + -6x = -6 + -60 -6x = -6 + -60 Combine like terms: -6 + -60 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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