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Simplifying 8x + 11 = 9(5 + -1x) Reorder the terms: 11 + 8x = 9(5 + -1x) 11 + 8x = (5 * 9 + -1x * 9) 11 + 8x = (45 + -9x) Solving 11 + 8x = 45 + -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. 11 + 8x + 9x = 45 + -9x + 9x Combine like terms: 8x + 9x = 17x 11 + 17x = 45 + -9x + 9x Combine like terms: -9x + 9x = 0 11 + 17x = 45 + 0 11 + 17x = 45 Add '-11' to each side of the equation. 11 + -11 + 17x = 45 + -11 Combine like terms: 11 + -11 = 0 0 + 17x = 45 + -11 17x = 45 + -11 Combine like terms: 45 + -11 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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