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Simplifying 10x + 17x + -6 + 5 = -2x + 5 + -6 Reorder the terms: -6 + 5 + 10x + 17x = -2x + 5 + -6 Combine like terms: -6 + 5 = -1 -1 + 10x + 17x = -2x + 5 + -6 Combine like terms: 10x + 17x = 27x -1 + 27x = -2x + 5 + -6 Reorder the terms: -1 + 27x = 5 + -6 + -2x Combine like terms: 5 + -6 = -1 -1 + 27x = -1 + -2x Add '1' to each side of the equation. -1 + 1 + 27x = -1 + 1 + -2x Combine like terms: -1 + 1 = 0 0 + 27x = -1 + 1 + -2x 27x = -1 + 1 + -2x Combine like terms: -1 + 1 = 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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