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