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Simplifying 10x + 17x + -8 + 1 = -6x + 1 + -8 Reorder the terms: -8 + 1 + 10x + 17x = -6x + 1 + -8 Combine like terms: -8 + 1 = -7 -7 + 10x + 17x = -6x + 1 + -8 Combine like terms: 10x + 17x = 27x -7 + 27x = -6x + 1 + -8 Reorder the terms: -7 + 27x = 1 + -8 + -6x Combine like terms: 1 + -8 = -7 -7 + 27x = -7 + -6x Add '7' to each side of the equation. -7 + 7 + 27x = -7 + 7 + -6x Combine like terms: -7 + 7 = 0 0 + 27x = -7 + 7 + -6x 27x = -7 + 7 + -6x Combine like terms: -7 + 7 = 0 27x = 0 + -6x 27x = -6x Solving 27x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 27x + 6x = -6x + 6x Combine like terms: 27x + 6x = 33x 33x = -6x + 6x Combine like terms: -6x + 6x = 0 33x = 0 Divide each side by '33'. x = 0 Simplifying x = 0
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