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Simplifying 1(11 + x) = -10(8 + -1x) (11 * 1 + x * 1) = -10(8 + -1x) (11 + 1x) = -10(8 + -1x) 11 + 1x = (8 * -10 + -1x * -10) 11 + 1x = (-80 + 10x) Solving 11 + 1x = -80 + 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 + 1x + -10x = -80 + 10x + -10x Combine like terms: 1x + -10x = -9x 11 + -9x = -80 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + -9x = -80 + 0 11 + -9x = -80 Add '-11' to each side of the equation. 11 + -11 + -9x = -80 + -11 Combine like terms: 11 + -11 = 0 0 + -9x = -80 + -11 -9x = -80 + -11 Combine like terms: -80 + -11 = -91 -9x = -91 Divide each side by '-9'. x = 10.11111111 Simplifying x = 10.11111111
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