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Simplifying 8x + 9x + -52 = 104 + -9x Reorder the terms: -52 + 8x + 9x = 104 + -9x Combine like terms: 8x + 9x = 17x -52 + 17x = 104 + -9x Solving -52 + 17x = 104 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -52 + 17x + 9x = 104 + -9x + 9x Combine like terms: 17x + 9x = 26x -52 + 26x = 104 + -9x + 9x Combine like terms: -9x + 9x = 0 -52 + 26x = 104 + 0 -52 + 26x = 104 Add '52' to each side of the equation. -52 + 52 + 26x = 104 + 52 Combine like terms: -52 + 52 = 0 0 + 26x = 104 + 52 26x = 104 + 52 Combine like terms: 104 + 52 = 156 26x = 156 Divide each side by '26'. x = 6 Simplifying x = 6
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