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Simplifying 8(2x + 1) = x + 8(x + 1) Reorder the terms: 8(1 + 2x) = x + 8(x + 1) (1 * 8 + 2x * 8) = x + 8(x + 1) (8 + 16x) = x + 8(x + 1) Reorder the terms: 8 + 16x = x + 8(1 + x) 8 + 16x = x + (1 * 8 + x * 8) 8 + 16x = x + (8 + 8x) Reorder the terms: 8 + 16x = 8 + x + 8x Combine like terms: x + 8x = 9x 8 + 16x = 8 + 9x Add '-8' to each side of the equation. 8 + -8 + 16x = 8 + -8 + 9x Combine like terms: 8 + -8 = 0 0 + 16x = 8 + -8 + 9x 16x = 8 + -8 + 9x Combine like terms: 8 + -8 = 0 16x = 0 + 9x 16x = 9x Solving 16x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 16x + -9x = 9x + -9x Combine like terms: 16x + -9x = 7x 7x = 9x + -9x Combine like terms: 9x + -9x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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