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Simplifying 7x = x + 8(1 + -1x) 7x = x + (1 * 8 + -1x * 8) 7x = x + (8 + -8x) Reorder the terms: 7x = 8 + x + -8x Combine like terms: x + -8x = -7x 7x = 8 + -7x Solving 7x = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7x + 7x = 8 + -7x + 7x Combine like terms: 7x + 7x = 14x 14x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 14x = 8 + 0 14x = 8 Divide each side by '14'. x = 0.5714285714 Simplifying x = 0.5714285714
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