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Simplifying 6x + 11 = -117 + -10x Reorder the terms: 11 + 6x = -117 + -10x Solving 11 + 6x = -117 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 11 + 6x + 10x = -117 + -10x + 10x Combine like terms: 6x + 10x = 16x 11 + 16x = -117 + -10x + 10x Combine like terms: -10x + 10x = 0 11 + 16x = -117 + 0 11 + 16x = -117 Add '-11' to each side of the equation. 11 + -11 + 16x = -117 + -11 Combine like terms: 11 + -11 = 0 0 + 16x = -117 + -11 16x = -117 + -11 Combine like terms: -117 + -11 = -128 16x = -128 Divide each side by '16'. x = -8 Simplifying x = -8
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