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Simplifying 8x + -2 + 4x = 5x + 6 + -8 Reorder the terms: -2 + 8x + 4x = 5x + 6 + -8 Combine like terms: 8x + 4x = 12x -2 + 12x = 5x + 6 + -8 Reorder the terms: -2 + 12x = 6 + -8 + 5x Combine like terms: 6 + -8 = -2 -2 + 12x = -2 + 5x Add '2' to each side of the equation. -2 + 2 + 12x = -2 + 2 + 5x Combine like terms: -2 + 2 = 0 0 + 12x = -2 + 2 + 5x 12x = -2 + 2 + 5x Combine like terms: -2 + 2 = 0 12x = 0 + 5x 12x = 5x Solving 12x = 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. 12x + -5x = 5x + -5x Combine like terms: 12x + -5x = 7x 7x = 5x + -5x Combine like terms: 5x + -5x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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