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Simplifying 8x + 9x + -78 = 130 + -9x Reorder the terms: -78 + 8x + 9x = 130 + -9x Combine like terms: 8x + 9x = 17x -78 + 17x = 130 + -9x Solving -78 + 17x = 130 + -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. -78 + 17x + 9x = 130 + -9x + 9x Combine like terms: 17x + 9x = 26x -78 + 26x = 130 + -9x + 9x Combine like terms: -9x + 9x = 0 -78 + 26x = 130 + 0 -78 + 26x = 130 Add '78' to each side of the equation. -78 + 78 + 26x = 130 + 78 Combine like terms: -78 + 78 = 0 0 + 26x = 130 + 78 26x = 130 + 78 Combine like terms: 130 + 78 = 208 26x = 208 Divide each side by '26'. x = 8 Simplifying x = 8
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