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Simplifying 3(2 + 3x) = 4(3 + 2x) (2 * 3 + 3x * 3) = 4(3 + 2x) (6 + 9x) = 4(3 + 2x) 6 + 9x = (3 * 4 + 2x * 4) 6 + 9x = (12 + 8x) Solving 6 + 9x = 12 + 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 + 9x + -8x = 12 + 8x + -8x Combine like terms: 9x + -8x = 1x 6 + 1x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 1x = 12 + 0 6 + 1x = 12 Add '-6' to each side of the equation. 6 + -6 + 1x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 12 + -6 1x = 12 + -6 Combine like terms: 12 + -6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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