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Simplifying 3x + 11 = -43 + -6x Reorder the terms: 11 + 3x = -43 + -6x Solving 11 + 3x = -43 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 11 + 3x + 6x = -43 + -6x + 6x Combine like terms: 3x + 6x = 9x 11 + 9x = -43 + -6x + 6x Combine like terms: -6x + 6x = 0 11 + 9x = -43 + 0 11 + 9x = -43 Add '-11' to each side of the equation. 11 + -11 + 9x = -43 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = -43 + -11 9x = -43 + -11 Combine like terms: -43 + -11 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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