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Simplifying 6x + 13 = -43 + -5x Reorder the terms: 13 + 6x = -43 + -5x Solving 13 + 6x = -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. 13 + 6x + 5x = -43 + -5x + 5x Combine like terms: 6x + 5x = 11x 13 + 11x = -43 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 11x = -43 + 0 13 + 11x = -43 Add '-13' to each side of the equation. 13 + -13 + 11x = -43 + -13 Combine like terms: 13 + -13 = 0 0 + 11x = -43 + -13 11x = -43 + -13 Combine like terms: -43 + -13 = -56 11x = -56 Divide each side by '11'. x = -5.090909091 Simplifying x = -5.090909091
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