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Simplifying 2(6x + 3) = 4(2x + 1) Reorder the terms: 2(3 + 6x) = 4(2x + 1) (3 * 2 + 6x * 2) = 4(2x + 1) (6 + 12x) = 4(2x + 1) Reorder the terms: 6 + 12x = 4(1 + 2x) 6 + 12x = (1 * 4 + 2x * 4) 6 + 12x = (4 + 8x) Solving 6 + 12x = 4 + 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. 6 + 12x + -8x = 4 + 8x + -8x Combine like terms: 12x + -8x = 4x 6 + 4x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 4x = 4 + 0 6 + 4x = 4 Add '-6' to each side of the equation. 6 + -6 + 4x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 4 + -6 4x = 4 + -6 Combine like terms: 4 + -6 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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