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Simplifying 10x + 17x + -9 + 1 = 8x + 1 + -9 Reorder the terms: -9 + 1 + 10x + 17x = 8x + 1 + -9 Combine like terms: -9 + 1 = -8 -8 + 10x + 17x = 8x + 1 + -9 Combine like terms: 10x + 17x = 27x -8 + 27x = 8x + 1 + -9 Reorder the terms: -8 + 27x = 1 + -9 + 8x Combine like terms: 1 + -9 = -8 -8 + 27x = -8 + 8x Add '8' to each side of the equation. -8 + 8 + 27x = -8 + 8 + 8x Combine like terms: -8 + 8 = 0 0 + 27x = -8 + 8 + 8x 27x = -8 + 8 + 8x Combine like terms: -8 + 8 = 0 27x = 0 + 8x 27x = 8x Solving 27x = 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. 27x + -8x = 8x + -8x Combine like terms: 27x + -8x = 19x 19x = 8x + -8x Combine like terms: 8x + -8x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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