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