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Simplifying 4(3x + 2) = 3(3x + 2) Reorder the terms: 4(2 + 3x) = 3(3x + 2) (2 * 4 + 3x * 4) = 3(3x + 2) (8 + 12x) = 3(3x + 2) Reorder the terms: 8 + 12x = 3(2 + 3x) 8 + 12x = (2 * 3 + 3x * 3) 8 + 12x = (6 + 9x) Solving 8 + 12x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 12x + -9x = 6 + 9x + -9x Combine like terms: 12x + -9x = 3x 8 + 3x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + 3x = 6 + 0 8 + 3x = 6 Add '-8' to each side of the equation. 8 + -8 + 3x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 6 + -8 3x = 6 + -8 Combine like terms: 6 + -8 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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