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Simplifying 3(2x + 7) + -2(12 + -3x) = 21 Reorder the terms: 3(7 + 2x) + -2(12 + -3x) = 21 (7 * 3 + 2x * 3) + -2(12 + -3x) = 21 (21 + 6x) + -2(12 + -3x) = 21 21 + 6x + (12 * -2 + -3x * -2) = 21 21 + 6x + (-24 + 6x) = 21 Reorder the terms: 21 + -24 + 6x + 6x = 21 Combine like terms: 21 + -24 = -3 -3 + 6x + 6x = 21 Combine like terms: 6x + 6x = 12x -3 + 12x = 21 Solving -3 + 12x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 21 + 3 12x = 21 + 3 Combine like terms: 21 + 3 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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