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Simplifying 10x + 17x + -9 + 1 = -7x + 1 + -9 Reorder the terms: -9 + 1 + 10x + 17x = -7x + 1 + -9 Combine like terms: -9 + 1 = -8 -8 + 10x + 17x = -7x + 1 + -9 Combine like terms: 10x + 17x = 27x -8 + 27x = -7x + 1 + -9 Reorder the terms: -8 + 27x = 1 + -9 + -7x Combine like terms: 1 + -9 = -8 -8 + 27x = -8 + -7x Add '8' to each side of the equation. -8 + 8 + 27x = -8 + 8 + -7x Combine like terms: -8 + 8 = 0 0 + 27x = -8 + 8 + -7x 27x = -8 + 8 + -7x Combine like terms: -8 + 8 = 0 27x = 0 + -7x 27x = -7x Solving 27x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 27x + 7x = -7x + 7x Combine like terms: 27x + 7x = 34x 34x = -7x + 7x Combine like terms: -7x + 7x = 0 34x = 0 Divide each side by '34'. x = 0 Simplifying x = 0
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