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