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Simplifying -11(x + -1) = -5(3x + 1) Reorder the terms: -11(-1 + x) = -5(3x + 1) (-1 * -11 + x * -11) = -5(3x + 1) (11 + -11x) = -5(3x + 1) Reorder the terms: 11 + -11x = -5(1 + 3x) 11 + -11x = (1 * -5 + 3x * -5) 11 + -11x = (-5 + -15x) Solving 11 + -11x = -5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 11 + -11x + 15x = -5 + -15x + 15x Combine like terms: -11x + 15x = 4x 11 + 4x = -5 + -15x + 15x Combine like terms: -15x + 15x = 0 11 + 4x = -5 + 0 11 + 4x = -5 Add '-11' to each side of the equation. 11 + -11 + 4x = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = -5 + -11 4x = -5 + -11 Combine like terms: -5 + -11 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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