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Simplifying 10x + 17x + -8 + 1 = -2x + 1 + -8 Reorder the terms: -8 + 1 + 10x + 17x = -2x + 1 + -8 Combine like terms: -8 + 1 = -7 -7 + 10x + 17x = -2x + 1 + -8 Combine like terms: 10x + 17x = 27x -7 + 27x = -2x + 1 + -8 Reorder the terms: -7 + 27x = 1 + -8 + -2x Combine like terms: 1 + -8 = -7 -7 + 27x = -7 + -2x Add '7' to each side of the equation. -7 + 7 + 27x = -7 + 7 + -2x Combine like terms: -7 + 7 = 0 0 + 27x = -7 + 7 + -2x 27x = -7 + 7 + -2x Combine like terms: -7 + 7 = 0 27x = 0 + -2x 27x = -2x Solving 27x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 27x + 2x = -2x + 2x Combine like terms: 27x + 2x = 29x 29x = -2x + 2x Combine like terms: -2x + 2x = 0 29x = 0 Divide each side by '29'. x = 0 Simplifying x = 0
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