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Simplifying 5x + 11 = -41 + -8x Reorder the terms: 11 + 5x = -41 + -8x Solving 11 + 5x = -41 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 11 + 5x + 8x = -41 + -8x + 8x Combine like terms: 5x + 8x = 13x 11 + 13x = -41 + -8x + 8x Combine like terms: -8x + 8x = 0 11 + 13x = -41 + 0 11 + 13x = -41 Add '-11' to each side of the equation. 11 + -11 + 13x = -41 + -11 Combine like terms: 11 + -11 = 0 0 + 13x = -41 + -11 13x = -41 + -11 Combine like terms: -41 + -11 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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