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Simplifying 2x + 9 = 6 + -1(9x + -8) Reorder the terms: 9 + 2x = 6 + -1(9x + -8) Reorder the terms: 9 + 2x = 6 + -1(-8 + 9x) 9 + 2x = 6 + (-8 * -1 + 9x * -1) 9 + 2x = 6 + (8 + -9x) Combine like terms: 6 + 8 = 14 9 + 2x = 14 + -9x Solving 9 + 2x = 14 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 9 + 2x + 9x = 14 + -9x + 9x Combine like terms: 2x + 9x = 11x 9 + 11x = 14 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 11x = 14 + 0 9 + 11x = 14 Add '-9' to each side of the equation. 9 + -9 + 11x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 14 + -9 11x = 14 + -9 Combine like terms: 14 + -9 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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