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Simplifying 11(x + 9) = 8x + 105 Reorder the terms: 11(9 + x) = 8x + 105 (9 * 11 + x * 11) = 8x + 105 (99 + 11x) = 8x + 105 Reorder the terms: 99 + 11x = 105 + 8x Solving 99 + 11x = 105 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 99 + 11x + -8x = 105 + 8x + -8x Combine like terms: 11x + -8x = 3x 99 + 3x = 105 + 8x + -8x Combine like terms: 8x + -8x = 0 99 + 3x = 105 + 0 99 + 3x = 105 Add '-99' to each side of the equation. 99 + -99 + 3x = 105 + -99 Combine like terms: 99 + -99 = 0 0 + 3x = 105 + -99 3x = 105 + -99 Combine like terms: 105 + -99 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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