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Simplifying 9x + 2 = 6 + -1(3x + -7) Reorder the terms: 2 + 9x = 6 + -1(3x + -7) Reorder the terms: 2 + 9x = 6 + -1(-7 + 3x) 2 + 9x = 6 + (-7 * -1 + 3x * -1) 2 + 9x = 6 + (7 + -3x) Combine like terms: 6 + 7 = 13 2 + 9x = 13 + -3x Solving 2 + 9x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 9x + 3x = 13 + -3x + 3x Combine like terms: 9x + 3x = 12x 2 + 12x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 12x = 13 + 0 2 + 12x = 13 Add '-2' to each side of the equation. 2 + -2 + 12x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 13 + -2 12x = 13 + -2 Combine like terms: 13 + -2 = 11 12x = 11 Divide each side by '12'. x = 0.9166666667 Simplifying x = 0.9166666667
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