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Simplifying 3(x * x + -2x) = 3x * x + 5x + -11 Multiply x * x 3(x2 + -2x) = 3x * x + 5x + -11 Reorder the terms: 3(-2x + x2) = 3x * x + 5x + -11 (-2x * 3 + x2 * 3) = 3x * x + 5x + -11 (-6x + 3x2) = 3x * x + 5x + -11 Multiply x * x -6x + 3x2 = 3x2 + 5x + -11 Reorder the terms: -6x + 3x2 = -11 + 5x + 3x2 Add '-3x2' to each side of the equation. -6x + 3x2 + -3x2 = -11 + 5x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6x + 0 = -11 + 5x + 3x2 + -3x2 -6x = -11 + 5x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6x = -11 + 5x + 0 -6x = -11 + 5x Solving -6x = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6x + -5x = -11 + 5x + -5x Combine like terms: -6x + -5x = -11x -11x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -11x = -11 + 0 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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