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Simplifying (2x + 3)(3x + -2) = 6x * x + 1 Reorder the terms: (3 + 2x)(3x + -2) = 6x * x + 1 Reorder the terms: (3 + 2x)(-2 + 3x) = 6x * x + 1 Multiply (3 + 2x) * (-2 + 3x) (3(-2 + 3x) + 2x * (-2 + 3x)) = 6x * x + 1 ((-2 * 3 + 3x * 3) + 2x * (-2 + 3x)) = 6x * x + 1 ((-6 + 9x) + 2x * (-2 + 3x)) = 6x * x + 1 (-6 + 9x + (-2 * 2x + 3x * 2x)) = 6x * x + 1 (-6 + 9x + (-4x + 6x2)) = 6x * x + 1 Combine like terms: 9x + -4x = 5x (-6 + 5x + 6x2) = 6x * x + 1 Multiply x * x -6 + 5x + 6x2 = 6x2 + 1 Reorder the terms: -6 + 5x + 6x2 = 1 + 6x2 Add '-6x2' to each side of the equation. -6 + 5x + 6x2 + -6x2 = 1 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6 + 5x + 0 = 1 + 6x2 + -6x2 -6 + 5x = 1 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6 + 5x = 1 + 0 -6 + 5x = 1 Solving -6 + 5x = 1 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 + 5x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 1 + 6 5x = 1 + 6 Combine like terms: 1 + 6 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4
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