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Simplifying 6x + 2x + 1 = 8x + -3x + 1 Reorder the terms: 1 + 6x + 2x = 8x + -3x + 1 Combine like terms: 6x + 2x = 8x 1 + 8x = 8x + -3x + 1 Reorder the terms: 1 + 8x = 1 + 8x + -3x Combine like terms: 8x + -3x = 5x 1 + 8x = 1 + 5x Add '-1' to each side of the equation. 1 + -1 + 8x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 0 + 8x = 1 + -1 + 5x 8x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 8x = 0 + 5x 8x = 5x Solving 8x = 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. 8x + -5x = 5x + -5x Combine like terms: 8x + -5x = 3x 3x = 5x + -5x Combine like terms: 5x + -5x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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