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Simplifying 6(2x + 3) + -3(7 + -3x) = 0 Reorder the terms: 6(3 + 2x) + -3(7 + -3x) = 0 (3 * 6 + 2x * 6) + -3(7 + -3x) = 0 (18 + 12x) + -3(7 + -3x) = 0 18 + 12x + (7 * -3 + -3x * -3) = 0 18 + 12x + (-21 + 9x) = 0 Reorder the terms: 18 + -21 + 12x + 9x = 0 Combine like terms: 18 + -21 = -3 -3 + 12x + 9x = 0 Combine like terms: 12x + 9x = 21x -3 + 21x = 0 Solving -3 + 21x = 0 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 + 21x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 21x = 0 + 3 21x = 0 + 3 Combine like terms: 0 + 3 = 3 21x = 3 Divide each side by '21'. x = 0.1428571429 Simplifying x = 0.1428571429
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