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Simplifying 5 + -1(x + -8) = 11(x + 9) Reorder the terms: 5 + -1(-8 + x) = 11(x + 9) 5 + (-8 * -1 + x * -1) = 11(x + 9) 5 + (8 + -1x) = 11(x + 9) Combine like terms: 5 + 8 = 13 13 + -1x = 11(x + 9) Reorder the terms: 13 + -1x = 11(9 + x) 13 + -1x = (9 * 11 + x * 11) 13 + -1x = (99 + 11x) Solving 13 + -1x = 99 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 13 + -1x + -11x = 99 + 11x + -11x Combine like terms: -1x + -11x = -12x 13 + -12x = 99 + 11x + -11x Combine like terms: 11x + -11x = 0 13 + -12x = 99 + 0 13 + -12x = 99 Add '-13' to each side of the equation. 13 + -13 + -12x = 99 + -13 Combine like terms: 13 + -13 = 0 0 + -12x = 99 + -13 -12x = 99 + -13 Combine like terms: 99 + -13 = 86 -12x = 86 Divide each side by '-12'. x = -7.166666667 Simplifying x = -7.166666667
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