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Simplifying 6x + 2 = 9 + -1(5x + -3) Reorder the terms: 2 + 6x = 9 + -1(5x + -3) Reorder the terms: 2 + 6x = 9 + -1(-3 + 5x) 2 + 6x = 9 + (-3 * -1 + 5x * -1) 2 + 6x = 9 + (3 + -5x) Combine like terms: 9 + 3 = 12 2 + 6x = 12 + -5x Solving 2 + 6x = 12 + -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. 2 + 6x + 5x = 12 + -5x + 5x Combine like terms: 6x + 5x = 11x 2 + 11x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 11x = 12 + 0 2 + 11x = 12 Add '-2' to each side of the equation. 2 + -2 + 11x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 12 + -2 11x = 12 + -2 Combine like terms: 12 + -2 = 10 11x = 10 Divide each side by '11'. x = 0.9090909091 Simplifying x = 0.9090909091
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