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Simplifying 8x + 9x + -44 = 110 + -5x Reorder the terms: -44 + 8x + 9x = 110 + -5x Combine like terms: 8x + 9x = 17x -44 + 17x = 110 + -5x Solving -44 + 17x = 110 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -44 + 17x + 5x = 110 + -5x + 5x Combine like terms: 17x + 5x = 22x -44 + 22x = 110 + -5x + 5x Combine like terms: -5x + 5x = 0 -44 + 22x = 110 + 0 -44 + 22x = 110 Add '44' to each side of the equation. -44 + 44 + 22x = 110 + 44 Combine like terms: -44 + 44 = 0 0 + 22x = 110 + 44 22x = 110 + 44 Combine like terms: 110 + 44 = 154 22x = 154 Divide each side by '22'. x = 7 Simplifying x = 7
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