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Simplifying x(3x + -2) = 3x2 + 3x + -6 Reorder the terms: x(-2 + 3x) = 3x2 + 3x + -6 (-2 * x + 3x * x) = 3x2 + 3x + -6 (-2x + 3x2) = 3x2 + 3x + -6 Reorder the terms: -2x + 3x2 = -6 + 3x + 3x2 Add '-3x2' to each side of the equation. -2x + 3x2 + -3x2 = -6 + 3x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2x + 0 = -6 + 3x + 3x2 + -3x2 -2x = -6 + 3x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2x = -6 + 3x + 0 -2x = -6 + 3x Solving -2x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2x + -3x = -6 + 3x + -3x Combine like terms: -2x + -3x = -5x -5x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -5x = -6 + 0 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2
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