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Simplifying 4(3x + 2) + 3(2 + -3x) = 20 Reorder the terms: 4(2 + 3x) + 3(2 + -3x) = 20 (2 * 4 + 3x * 4) + 3(2 + -3x) = 20 (8 + 12x) + 3(2 + -3x) = 20 8 + 12x + (2 * 3 + -3x * 3) = 20 8 + 12x + (6 + -9x) = 20 Reorder the terms: 8 + 6 + 12x + -9x = 20 Combine like terms: 8 + 6 = 14 14 + 12x + -9x = 20 Combine like terms: 12x + -9x = 3x 14 + 3x = 20 Solving 14 + 3x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 20 + -14 3x = 20 + -14 Combine like terms: 20 + -14 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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