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Simplifying 3x(3 + -1x) + -1(4 + -1x) * 3x = 0 (3 * 3x + -1x * 3x) + -1(4 + -1x) * 3x = 0 (9x + -3x2) + -1(4 + -1x) * 3x = 0 Reorder the terms for easier multiplication: 9x + -3x2 + -1 * 3x(4 + -1x) = 0 Multiply -1 * 3 9x + -3x2 + -3x(4 + -1x) = 0 9x + -3x2 + (4 * -3x + -1x * -3x) = 0 9x + -3x2 + (-12x + 3x2) = 0 Reorder the terms: 9x + -12x + -3x2 + 3x2 = 0 Combine like terms: 9x + -12x = -3x -3x + -3x2 + 3x2 = 0 Combine like terms: -3x2 + 3x2 = 0 -3x + 0 = 0 -3x = 0 Solving -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-3'. x = 0 Simplifying x = 0
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