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Simplifying 11(2 + 8x) + -10(10 + -11x) = 912 (2 * 11 + 8x * 11) + -10(10 + -11x) = 912 (22 + 88x) + -10(10 + -11x) = 912 22 + 88x + (10 * -10 + -11x * -10) = 912 22 + 88x + (-100 + 110x) = 912 Reorder the terms: 22 + -100 + 88x + 110x = 912 Combine like terms: 22 + -100 = -78 -78 + 88x + 110x = 912 Combine like terms: 88x + 110x = 198x -78 + 198x = 912 Solving -78 + 198x = 912 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 198x = 912 + 78 Combine like terms: -78 + 78 = 0 0 + 198x = 912 + 78 198x = 912 + 78 Combine like terms: 912 + 78 = 990 198x = 990 Divide each side by '198'. x = 5 Simplifying x = 5
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