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Simplifying 11x + -1(2x + -11) = 6 + 8x Reorder the terms: 11x + -1(-11 + 2x) = 6 + 8x 11x + (-11 * -1 + 2x * -1) = 6 + 8x 11x + (11 + -2x) = 6 + 8x Reorder the terms: 11 + 11x + -2x = 6 + 8x Combine like terms: 11x + -2x = 9x 11 + 9x = 6 + 8x Solving 11 + 9x = 6 + 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 + 9x + -8x = 6 + 8x + -8x Combine like terms: 9x + -8x = 1x 11 + 1x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + 1x = 6 + 0 11 + 1x = 6 Add '-11' to each side of the equation. 11 + -11 + 1x = 6 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 6 + -11 1x = 6 + -11 Combine like terms: 6 + -11 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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