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Simplifying -11 + 41 = -5(x + 6) Combine like terms: -11 + 41 = 30 30 = -5(x + 6) Reorder the terms: 30 = -5(6 + x) 30 = (6 * -5 + x * -5) 30 = (-30 + -5x) Solving 30 = -30 + -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. 30 + 5x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + 5x = -30 + 0 30 + 5x = -30 Add '-30' to each side of the equation. 30 + -30 + 5x = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = -30 + -30 5x = -30 + -30 Combine like terms: -30 + -30 = -60 5x = -60 Divide each side by '5'. x = -12 Simplifying x = -12
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