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Simplifying 9(2x + 3) + 2 = 11(x + -5) Reorder the terms: 9(3 + 2x) + 2 = 11(x + -5) (3 * 9 + 2x * 9) + 2 = 11(x + -5) (27 + 18x) + 2 = 11(x + -5) Reorder the terms: 27 + 2 + 18x = 11(x + -5) Combine like terms: 27 + 2 = 29 29 + 18x = 11(x + -5) Reorder the terms: 29 + 18x = 11(-5 + x) 29 + 18x = (-5 * 11 + x * 11) 29 + 18x = (-55 + 11x) Solving 29 + 18x = -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. 29 + 18x + -11x = -55 + 11x + -11x Combine like terms: 18x + -11x = 7x 29 + 7x = -55 + 11x + -11x Combine like terms: 11x + -11x = 0 29 + 7x = -55 + 0 29 + 7x = -55 Add '-29' to each side of the equation. 29 + -29 + 7x = -55 + -29 Combine like terms: 29 + -29 = 0 0 + 7x = -55 + -29 7x = -55 + -29 Combine like terms: -55 + -29 = -84 7x = -84 Divide each side by '7'. x = -12 Simplifying x = -12
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