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Simplifying 10x + 17x + -6 + 2 = -5x + 2 + -6 Reorder the terms: -6 + 2 + 10x + 17x = -5x + 2 + -6 Combine like terms: -6 + 2 = -4 -4 + 10x + 17x = -5x + 2 + -6 Combine like terms: 10x + 17x = 27x -4 + 27x = -5x + 2 + -6 Reorder the terms: -4 + 27x = 2 + -6 + -5x Combine like terms: 2 + -6 = -4 -4 + 27x = -4 + -5x Add '4' to each side of the equation. -4 + 4 + 27x = -4 + 4 + -5x Combine like terms: -4 + 4 = 0 0 + 27x = -4 + 4 + -5x 27x = -4 + 4 + -5x Combine like terms: -4 + 4 = 0 27x = 0 + -5x 27x = -5x Solving 27x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 27x + 5x = -5x + 5x Combine like terms: 27x + 5x = 32x 32x = -5x + 5x Combine like terms: -5x + 5x = 0 32x = 0 Divide each side by '32'. x = 0 Simplifying x = 0
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