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Simplifying 6x + 5 = 9 + -1(5x + -6) Reorder the terms: 5 + 6x = 9 + -1(5x + -6) Reorder the terms: 5 + 6x = 9 + -1(-6 + 5x) 5 + 6x = 9 + (-6 * -1 + 5x * -1) 5 + 6x = 9 + (6 + -5x) Combine like terms: 9 + 6 = 15 5 + 6x = 15 + -5x Solving 5 + 6x = 15 + -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. 5 + 6x + 5x = 15 + -5x + 5x Combine like terms: 6x + 5x = 11x 5 + 11x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 11x = 15 + 0 5 + 11x = 15 Add '-5' to each side of the equation. 5 + -5 + 11x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 15 + -5 11x = 15 + -5 Combine like terms: 15 + -5 = 10 11x = 10 Divide each side by '11'. x = 0.9090909091 Simplifying x = 0.9090909091
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