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Simplifying 43 = (5 + -5x) + (-17 + -6x) Remove parenthesis around (5 + -5x) 43 = 5 + -5x + (-17 + -6x) Remove parenthesis around (-17 + -6x) 43 = 5 + -5x + -17 + -6x Reorder the terms: 43 = 5 + -17 + -5x + -6x Combine like terms: 5 + -17 = -12 43 = -12 + -5x + -6x Combine like terms: -5x + -6x = -11x 43 = -12 + -11x Solving 43 = -12 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 43 + 11x = -12 + -11x + 11x Combine like terms: -11x + 11x = 0 43 + 11x = -12 + 0 43 + 11x = -12 Add '-43' to each side of the equation. 43 + -43 + 11x = -12 + -43 Combine like terms: 43 + -43 = 0 0 + 11x = -12 + -43 11x = -12 + -43 Combine like terms: -12 + -43 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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