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Simplifying 9(6x + -17) = 11(x + 5) Reorder the terms: 9(-17 + 6x) = 11(x + 5) (-17 * 9 + 6x * 9) = 11(x + 5) (-153 + 54x) = 11(x + 5) Reorder the terms: -153 + 54x = 11(5 + x) -153 + 54x = (5 * 11 + x * 11) -153 + 54x = (55 + 11x) Solving -153 + 54x = 55 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -153 + 54x + -11x = 55 + 11x + -11x Combine like terms: 54x + -11x = 43x -153 + 43x = 55 + 11x + -11x Combine like terms: 11x + -11x = 0 -153 + 43x = 55 + 0 -153 + 43x = 55 Add '153' to each side of the equation. -153 + 153 + 43x = 55 + 153 Combine like terms: -153 + 153 = 0 0 + 43x = 55 + 153 43x = 55 + 153 Combine like terms: 55 + 153 = 208 43x = 208 Divide each side by '43'. x = 4.837209302 Simplifying x = 4.837209302
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