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Simplifying 8x + 9 = 5 + -1(3x + -6) Reorder the terms: 9 + 8x = 5 + -1(3x + -6) Reorder the terms: 9 + 8x = 5 + -1(-6 + 3x) 9 + 8x = 5 + (-6 * -1 + 3x * -1) 9 + 8x = 5 + (6 + -3x) Combine like terms: 5 + 6 = 11 9 + 8x = 11 + -3x Solving 9 + 8x = 11 + -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. 9 + 8x + 3x = 11 + -3x + 3x Combine like terms: 8x + 3x = 11x 9 + 11x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 11x = 11 + 0 9 + 11x = 11 Add '-9' to each side of the equation. 9 + -9 + 11x = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 11 + -9 11x = 11 + -9 Combine like terms: 11 + -9 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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