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Simplifying 3(3x + 2) + -4(3x + -3) = 0 Reorder the terms: 3(2 + 3x) + -4(3x + -3) = 0 (2 * 3 + 3x * 3) + -4(3x + -3) = 0 (6 + 9x) + -4(3x + -3) = 0 Reorder the terms: 6 + 9x + -4(-3 + 3x) = 0 6 + 9x + (-3 * -4 + 3x * -4) = 0 6 + 9x + (12 + -12x) = 0 Reorder the terms: 6 + 12 + 9x + -12x = 0 Combine like terms: 6 + 12 = 18 18 + 9x + -12x = 0 Combine like terms: 9x + -12x = -3x 18 + -3x = 0 Solving 18 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -3x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 0 + -18 -3x = 0 + -18 Combine like terms: 0 + -18 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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