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Simplifying 8x + 1 = 7x + -5x + 1 Reorder the terms: 1 + 8x = 7x + -5x + 1 Reorder the terms: 1 + 8x = 1 + 7x + -5x Combine like terms: 7x + -5x = 2x 1 + 8x = 1 + 2x Add '-1' to each side of the equation. 1 + -1 + 8x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 0 + 8x = 1 + -1 + 2x 8x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 8x = 0 + 2x 8x = 2x Solving 8x = 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. 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x 6x = 2x + -2x Combine like terms: 2x + -2x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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