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Simplifying (3x + 1)(x + -6) = 3x2 Reorder the terms: (1 + 3x)(x + -6) = 3x2 Reorder the terms: (1 + 3x)(-6 + x) = 3x2 Multiply (1 + 3x) * (-6 + x) (1(-6 + x) + 3x * (-6 + x)) = 3x2 ((-6 * 1 + x * 1) + 3x * (-6 + x)) = 3x2 ((-6 + 1x) + 3x * (-6 + x)) = 3x2 (-6 + 1x + (-6 * 3x + x * 3x)) = 3x2 (-6 + 1x + (-18x + 3x2)) = 3x2 Combine like terms: 1x + -18x = -17x (-6 + -17x + 3x2) = 3x2 Add '-3x2' to each side of the equation. -6 + -17x + 3x2 + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6 + -17x + 0 = 3x2 + -3x2 -6 + -17x = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6 + -17x = 0 Solving -6 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -17x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -17x = 0 + 6 -17x = 0 + 6 Combine like terms: 0 + 6 = 6 -17x = 6 Divide each side by '-17'. x = -0.3529411765 Simplifying x = -0.3529411765
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