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Simplifying 11(x + 9) = 5(x + -10) Reorder the terms: 11(9 + x) = 5(x + -10) (9 * 11 + x * 11) = 5(x + -10) (99 + 11x) = 5(x + -10) Reorder the terms: 99 + 11x = 5(-10 + x) 99 + 11x = (-10 * 5 + x * 5) 99 + 11x = (-50 + 5x) Solving 99 + 11x = -50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 99 + 11x + -5x = -50 + 5x + -5x Combine like terms: 11x + -5x = 6x 99 + 6x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 99 + 6x = -50 + 0 99 + 6x = -50 Add '-99' to each side of the equation. 99 + -99 + 6x = -50 + -99 Combine like terms: 99 + -99 = 0 0 + 6x = -50 + -99 6x = -50 + -99 Combine like terms: -50 + -99 = -149 6x = -149 Divide each side by '6'. x = -24.83333333 Simplifying x = -24.83333333
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