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Simplifying 9 + -1(x + -6) = 5(x + 11) Reorder the terms: 9 + -1(-6 + x) = 5(x + 11) 9 + (-6 * -1 + x * -1) = 5(x + 11) 9 + (6 + -1x) = 5(x + 11) Combine like terms: 9 + 6 = 15 15 + -1x = 5(x + 11) Reorder the terms: 15 + -1x = 5(11 + x) 15 + -1x = (11 * 5 + x * 5) 15 + -1x = (55 + 5x) Solving 15 + -1x = 55 + 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. 15 + -1x + -5x = 55 + 5x + -5x Combine like terms: -1x + -5x = -6x 15 + -6x = 55 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -6x = 55 + 0 15 + -6x = 55 Add '-15' to each side of the equation. 15 + -15 + -6x = 55 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 55 + -15 -6x = 55 + -15 Combine like terms: 55 + -15 = 40 -6x = 40 Divide each side by '-6'. x = -6.666666667 Simplifying x = -6.666666667
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