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Simplifying 8(2x + 1) = 2x Reorder the terms: 8(1 + 2x) = 2x (1 * 8 + 2x * 8) = 2x (8 + 16x) = 2x Solving 8 + 16x = 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. 8 + 16x + -2x = 2x + -2x Combine like terms: 16x + -2x = 14x 8 + 14x = 2x + -2x Combine like terms: 2x + -2x = 0 8 + 14x = 0 Add '-8' to each side of the equation. 8 + -8 + 14x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 0 + -8 14x = 0 + -8 Combine like terms: 0 + -8 = -8 14x = -8 Divide each side by '14'. x = -0.5714285714 Simplifying x = -0.5714285714
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