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Simplifying 8(2x + 1) = 2(4x + 3) Reorder the terms: 8(1 + 2x) = 2(4x + 3) (1 * 8 + 2x * 8) = 2(4x + 3) (8 + 16x) = 2(4x + 3) Reorder the terms: 8 + 16x = 2(3 + 4x) 8 + 16x = (3 * 2 + 4x * 2) 8 + 16x = (6 + 8x) Solving 8 + 16x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 16x + -8x = 6 + 8x + -8x Combine like terms: 16x + -8x = 8x 8 + 8x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 8x = 6 + 0 8 + 8x = 6 Add '-8' to each side of the equation. 8 + -8 + 8x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 6 + -8 8x = 6 + -8 Combine like terms: 6 + -8 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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