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Simplifying 8x + -2x + 6 = x + -2 + 8 Reorder the terms: 6 + 8x + -2x = x + -2 + 8 Combine like terms: 8x + -2x = 6x 6 + 6x = x + -2 + 8 Reorder the terms: 6 + 6x = -2 + 8 + x Combine like terms: -2 + 8 = 6 6 + 6x = 6 + x Add '-6' to each side of the equation. 6 + -6 + 6x = 6 + -6 + x Combine like terms: 6 + -6 = 0 0 + 6x = 6 + -6 + x 6x = 6 + -6 + x Combine like terms: 6 + -6 = 0 6x = 0 + x 6x = x Solving 6x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6x + -1x = x + -1x Combine like terms: 6x + -1x = 5x 5x = x + -1x Combine like terms: x + -1x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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