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Simplifying 11(6x + 7) + -5(9x + 10) = 418 + -2x Reorder the terms: 11(7 + 6x) + -5(9x + 10) = 418 + -2x (7 * 11 + 6x * 11) + -5(9x + 10) = 418 + -2x (77 + 66x) + -5(9x + 10) = 418 + -2x Reorder the terms: 77 + 66x + -5(10 + 9x) = 418 + -2x 77 + 66x + (10 * -5 + 9x * -5) = 418 + -2x 77 + 66x + (-50 + -45x) = 418 + -2x Reorder the terms: 77 + -50 + 66x + -45x = 418 + -2x Combine like terms: 77 + -50 = 27 27 + 66x + -45x = 418 + -2x Combine like terms: 66x + -45x = 21x 27 + 21x = 418 + -2x Solving 27 + 21x = 418 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 27 + 21x + 2x = 418 + -2x + 2x Combine like terms: 21x + 2x = 23x 27 + 23x = 418 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + 23x = 418 + 0 27 + 23x = 418 Add '-27' to each side of the equation. 27 + -27 + 23x = 418 + -27 Combine like terms: 27 + -27 = 0 0 + 23x = 418 + -27 23x = 418 + -27 Combine like terms: 418 + -27 = 391 23x = 391 Divide each side by '23'. x = 17 Simplifying x = 17
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