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Simplifying 11(9 + -2x) = -1(12x + 11) (9 * 11 + -2x * 11) = -1(12x + 11) (99 + -22x) = -1(12x + 11) Reorder the terms: 99 + -22x = -1(11 + 12x) 99 + -22x = (11 * -1 + 12x * -1) 99 + -22x = (-11 + -12x) Solving 99 + -22x = -11 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 99 + -22x + 12x = -11 + -12x + 12x Combine like terms: -22x + 12x = -10x 99 + -10x = -11 + -12x + 12x Combine like terms: -12x + 12x = 0 99 + -10x = -11 + 0 99 + -10x = -11 Add '-99' to each side of the equation. 99 + -99 + -10x = -11 + -99 Combine like terms: 99 + -99 = 0 0 + -10x = -11 + -99 -10x = -11 + -99 Combine like terms: -11 + -99 = -110 -10x = -110 Divide each side by '-10'. x = 11 Simplifying x = 11
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