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Simplifying 4x + 11 = -1009 + -8x Reorder the terms: 11 + 4x = -1009 + -8x Solving 11 + 4x = -1009 + -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 + 4x + 8x = -1009 + -8x + 8x Combine like terms: 4x + 8x = 12x 11 + 12x = -1009 + -8x + 8x Combine like terms: -8x + 8x = 0 11 + 12x = -1009 + 0 11 + 12x = -1009 Add '-11' to each side of the equation. 11 + -11 + 12x = -1009 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = -1009 + -11 12x = -1009 + -11 Combine like terms: -1009 + -11 = -1020 12x = -1020 Divide each side by '12'. x = -85 Simplifying x = -85
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