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Simplifying -11(x + -5) = 43 + -5x Reorder the terms: -11(-5 + x) = 43 + -5x (-5 * -11 + x * -11) = 43 + -5x (55 + -11x) = 43 + -5x Solving 55 + -11x = 43 + -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. 55 + -11x + 5x = 43 + -5x + 5x Combine like terms: -11x + 5x = -6x 55 + -6x = 43 + -5x + 5x Combine like terms: -5x + 5x = 0 55 + -6x = 43 + 0 55 + -6x = 43 Add '-55' to each side of the equation. 55 + -55 + -6x = 43 + -55 Combine like terms: 55 + -55 = 0 0 + -6x = 43 + -55 -6x = 43 + -55 Combine like terms: 43 + -55 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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