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Simplifying 10x + 19x + -8 + 2 = -6x + 2 + -8 Reorder the terms: -8 + 2 + 10x + 19x = -6x + 2 + -8 Combine like terms: -8 + 2 = -6 -6 + 10x + 19x = -6x + 2 + -8 Combine like terms: 10x + 19x = 29x -6 + 29x = -6x + 2 + -8 Reorder the terms: -6 + 29x = 2 + -8 + -6x Combine like terms: 2 + -8 = -6 -6 + 29x = -6 + -6x Add '6' to each side of the equation. -6 + 6 + 29x = -6 + 6 + -6x Combine like terms: -6 + 6 = 0 0 + 29x = -6 + 6 + -6x 29x = -6 + 6 + -6x Combine like terms: -6 + 6 = 0 29x = 0 + -6x 29x = -6x Solving 29x = -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. 29x + 6x = -6x + 6x Combine like terms: 29x + 6x = 35x 35x = -6x + 6x Combine like terms: -6x + 6x = 0 35x = 0 Divide each side by '35'. x = 0 Simplifying x = 0
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